diff --git a/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/LogGroupResourcePolicyAnyPrincialIntegDefaultTestDeployAssert1A3C13F5.assets.json b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/LogGroupResourcePolicyAnyPrincialIntegDefaultTestDeployAssert1A3C13F5.assets.json
new file mode 100644
index 0000000000000..0b1533c76746e
--- /dev/null
+++ b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/LogGroupResourcePolicyAnyPrincialIntegDefaultTestDeployAssert1A3C13F5.assets.json
@@ -0,0 +1,19 @@
+{
+  "version": "35.0.0",
+  "files": {
+    "21fbb51d7b23f6a6c262b46a9caee79d744a3ac019fd45422d988b96d44b2a22": {
+      "source": {
+        "path": "LogGroupResourcePolicyAnyPrincialIntegDefaultTestDeployAssert1A3C13F5.template.json",
+        "packaging": "file"
+      },
+      "destinations": {
+        "current_account-current_region": {
+          "bucketName": "cdk-hnb659fds-assets-${AWS::AccountId}-${AWS::Region}",
+          "objectKey": "21fbb51d7b23f6a6c262b46a9caee79d744a3ac019fd45422d988b96d44b2a22.json",
+          "assumeRoleArn": "arn:${AWS::Partition}:iam::${AWS::AccountId}:role/cdk-hnb659fds-file-publishing-role-${AWS::AccountId}-${AWS::Region}"
+        }
+      }
+    }
+  },
+  "dockerImages": {}
+}
\ No newline at end of file
diff --git a/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/LogGroupResourcePolicyAnyPrincialIntegDefaultTestDeployAssert1A3C13F5.template.json b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/LogGroupResourcePolicyAnyPrincialIntegDefaultTestDeployAssert1A3C13F5.template.json
new file mode 100644
index 0000000000000..ad9d0fb73d1dd
--- /dev/null
+++ b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/LogGroupResourcePolicyAnyPrincialIntegDefaultTestDeployAssert1A3C13F5.template.json
@@ -0,0 +1,36 @@
+{
+ "Parameters": {
+  "BootstrapVersion": {
+   "Type": "AWS::SSM::Parameter::Value<String>",
+   "Default": "/cdk-bootstrap/hnb659fds/version",
+   "Description": "Version of the CDK Bootstrap resources in this environment, automatically retrieved from SSM Parameter Store. [cdk:skip]"
+  }
+ },
+ "Rules": {
+  "CheckBootstrapVersion": {
+   "Assertions": [
+    {
+     "Assert": {
+      "Fn::Not": [
+       {
+        "Fn::Contains": [
+         [
+          "1",
+          "2",
+          "3",
+          "4",
+          "5"
+         ],
+         {
+          "Ref": "BootstrapVersion"
+         }
+        ]
+       }
+      ]
+     },
+     "AssertDescription": "CDK bootstrap stack version 6 required. Please run 'cdk bootstrap' with a recent version of the CDK CLI."
+    }
+   ]
+  }
+ }
+}
\ No newline at end of file
diff --git a/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/aws-cdk-log-group-resource-policy-any-integ.assets.json b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/aws-cdk-log-group-resource-policy-any-integ.assets.json
new file mode 100644
index 0000000000000..6509402e1d0c0
--- /dev/null
+++ b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/aws-cdk-log-group-resource-policy-any-integ.assets.json
@@ -0,0 +1,19 @@
+{
+  "version": "35.0.0",
+  "files": {
+    "2855bd7cab70f5e85c52fc289c6bec1d1588356a141a911aa3cc1bdd0b2c6163": {
+      "source": {
+        "path": "aws-cdk-log-group-resource-policy-any-integ.template.json",
+        "packaging": "file"
+      },
+      "destinations": {
+        "current_account-current_region": {
+          "bucketName": "cdk-hnb659fds-assets-${AWS::AccountId}-${AWS::Region}",
+          "objectKey": "2855bd7cab70f5e85c52fc289c6bec1d1588356a141a911aa3cc1bdd0b2c6163.json",
+          "assumeRoleArn": "arn:${AWS::Partition}:iam::${AWS::AccountId}:role/cdk-hnb659fds-file-publishing-role-${AWS::AccountId}-${AWS::Region}"
+        }
+      }
+    }
+  },
+  "dockerImages": {}
+}
\ No newline at end of file
diff --git a/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/aws-cdk-log-group-resource-policy-any-integ.template.json b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/aws-cdk-log-group-resource-policy-any-integ.template.json
new file mode 100644
index 0000000000000..74829f665a6ae
--- /dev/null
+++ b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/aws-cdk-log-group-resource-policy-any-integ.template.json
@@ -0,0 +1,67 @@
+{
+ "Resources": {
+  "LogGroupF5B46931": {
+   "Type": "AWS::Logs::LogGroup",
+   "Properties": {
+    "RetentionInDays": 731
+   },
+   "UpdateReplacePolicy": "Retain",
+   "DeletionPolicy": "Retain"
+  },
+  "LogGroupPolicyResourcePolicy6FA18555": {
+   "Type": "AWS::Logs::ResourcePolicy",
+   "Properties": {
+    "PolicyDocument": {
+     "Fn::Join": [
+      "",
+      [
+       "{\"Statement\":[{\"Action\":\"logs:PutLogEvents\",\"Effect\":\"Allow\",\"Principal\":{\"AWS\":\"*\"},\"Resource\":\"",
+       {
+        "Fn::GetAtt": [
+         "LogGroupF5B46931",
+         "Arn"
+        ]
+       },
+       "\"}],\"Version\":\"2012-10-17\"}"
+      ]
+     ]
+    },
+    "PolicyName": "awscdkloggroupresourcepolicyanyintegLogGroupPolicy69400813"
+   }
+  }
+ },
+ "Parameters": {
+  "BootstrapVersion": {
+   "Type": "AWS::SSM::Parameter::Value<String>",
+   "Default": "/cdk-bootstrap/hnb659fds/version",
+   "Description": "Version of the CDK Bootstrap resources in this environment, automatically retrieved from SSM Parameter Store. [cdk:skip]"
+  }
+ },
+ "Rules": {
+  "CheckBootstrapVersion": {
+   "Assertions": [
+    {
+     "Assert": {
+      "Fn::Not": [
+       {
+        "Fn::Contains": [
+         [
+          "1",
+          "2",
+          "3",
+          "4",
+          "5"
+         ],
+         {
+          "Ref": "BootstrapVersion"
+         }
+        ]
+       }
+      ]
+     },
+     "AssertDescription": "CDK bootstrap stack version 6 required. Please run 'cdk bootstrap' with a recent version of the CDK CLI."
+    }
+   ]
+  }
+ }
+}
\ No newline at end of file
diff --git a/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/cdk.out b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/cdk.out
new file mode 100644
index 0000000000000..c5cb2e5de6344
--- /dev/null
+++ b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/cdk.out
@@ -0,0 +1 @@
+{"version":"35.0.0"}
\ No newline at end of file
diff --git a/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/integ.json b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/integ.json
new file mode 100644
index 0000000000000..7975b16c06820
--- /dev/null
+++ b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/integ.json
@@ -0,0 +1,12 @@
+{
+  "version": "35.0.0",
+  "testCases": {
+    "LogGroupResourcePolicyAnyPrincialInteg/DefaultTest": {
+      "stacks": [
+        "aws-cdk-log-group-resource-policy-any-integ"
+      ],
+      "assertionStack": "LogGroupResourcePolicyAnyPrincialInteg/DefaultTest/DeployAssert",
+      "assertionStackName": "LogGroupResourcePolicyAnyPrincialIntegDefaultTestDeployAssert1A3C13F5"
+    }
+  }
+}
\ No newline at end of file
diff --git a/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/manifest.json b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/manifest.json
new file mode 100644
index 0000000000000..5e7c0219ed126
--- /dev/null
+++ b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/manifest.json
@@ -0,0 +1,119 @@
+{
+  "version": "35.0.0",
+  "artifacts": {
+    "aws-cdk-log-group-resource-policy-any-integ.assets": {
+      "type": "cdk:asset-manifest",
+      "properties": {
+        "file": "aws-cdk-log-group-resource-policy-any-integ.assets.json",
+        "requiresBootstrapStackVersion": 6,
+        "bootstrapStackVersionSsmParameter": "/cdk-bootstrap/hnb659fds/version"
+      }
+    },
+    "aws-cdk-log-group-resource-policy-any-integ": {
+      "type": "aws:cloudformation:stack",
+      "environment": "aws://unknown-account/unknown-region",
+      "properties": {
+        "templateFile": "aws-cdk-log-group-resource-policy-any-integ.template.json",
+        "terminationProtection": false,
+        "validateOnSynth": false,
+        "assumeRoleArn": "arn:${AWS::Partition}:iam::${AWS::AccountId}:role/cdk-hnb659fds-deploy-role-${AWS::AccountId}-${AWS::Region}",
+        "cloudFormationExecutionRoleArn": "arn:${AWS::Partition}:iam::${AWS::AccountId}:role/cdk-hnb659fds-cfn-exec-role-${AWS::AccountId}-${AWS::Region}",
+        "stackTemplateAssetObjectUrl": "s3://cdk-hnb659fds-assets-${AWS::AccountId}-${AWS::Region}/2855bd7cab70f5e85c52fc289c6bec1d1588356a141a911aa3cc1bdd0b2c6163.json",
+        "requiresBootstrapStackVersion": 6,
+        "bootstrapStackVersionSsmParameter": "/cdk-bootstrap/hnb659fds/version",
+        "additionalDependencies": [
+          "aws-cdk-log-group-resource-policy-any-integ.assets"
+        ],
+        "lookupRole": {
+          "arn": "arn:${AWS::Partition}:iam::${AWS::AccountId}:role/cdk-hnb659fds-lookup-role-${AWS::AccountId}-${AWS::Region}",
+          "requiresBootstrapStackVersion": 8,
+          "bootstrapStackVersionSsmParameter": "/cdk-bootstrap/hnb659fds/version"
+        }
+      },
+      "dependencies": [
+        "aws-cdk-log-group-resource-policy-any-integ.assets"
+      ],
+      "metadata": {
+        "/aws-cdk-log-group-resource-policy-any-integ/LogGroup/Resource": [
+          {
+            "type": "aws:cdk:logicalId",
+            "data": "LogGroupF5B46931"
+          }
+        ],
+        "/aws-cdk-log-group-resource-policy-any-integ/LogGroup/Policy/ResourcePolicy": [
+          {
+            "type": "aws:cdk:logicalId",
+            "data": "LogGroupPolicyResourcePolicy6FA18555"
+          }
+        ],
+        "/aws-cdk-log-group-resource-policy-any-integ/BootstrapVersion": [
+          {
+            "type": "aws:cdk:logicalId",
+            "data": "BootstrapVersion"
+          }
+        ],
+        "/aws-cdk-log-group-resource-policy-any-integ/CheckBootstrapVersion": [
+          {
+            "type": "aws:cdk:logicalId",
+            "data": "CheckBootstrapVersion"
+          }
+        ]
+      },
+      "displayName": "aws-cdk-log-group-resource-policy-any-integ"
+    },
+    "LogGroupResourcePolicyAnyPrincialIntegDefaultTestDeployAssert1A3C13F5.assets": {
+      "type": "cdk:asset-manifest",
+      "properties": {
+        "file": "LogGroupResourcePolicyAnyPrincialIntegDefaultTestDeployAssert1A3C13F5.assets.json",
+        "requiresBootstrapStackVersion": 6,
+        "bootstrapStackVersionSsmParameter": "/cdk-bootstrap/hnb659fds/version"
+      }
+    },
+    "LogGroupResourcePolicyAnyPrincialIntegDefaultTestDeployAssert1A3C13F5": {
+      "type": "aws:cloudformation:stack",
+      "environment": "aws://unknown-account/unknown-region",
+      "properties": {
+        "templateFile": "LogGroupResourcePolicyAnyPrincialIntegDefaultTestDeployAssert1A3C13F5.template.json",
+        "terminationProtection": false,
+        "validateOnSynth": false,
+        "assumeRoleArn": "arn:${AWS::Partition}:iam::${AWS::AccountId}:role/cdk-hnb659fds-deploy-role-${AWS::AccountId}-${AWS::Region}",
+        "cloudFormationExecutionRoleArn": "arn:${AWS::Partition}:iam::${AWS::AccountId}:role/cdk-hnb659fds-cfn-exec-role-${AWS::AccountId}-${AWS::Region}",
+        "stackTemplateAssetObjectUrl": "s3://cdk-hnb659fds-assets-${AWS::AccountId}-${AWS::Region}/21fbb51d7b23f6a6c262b46a9caee79d744a3ac019fd45422d988b96d44b2a22.json",
+        "requiresBootstrapStackVersion": 6,
+        "bootstrapStackVersionSsmParameter": "/cdk-bootstrap/hnb659fds/version",
+        "additionalDependencies": [
+          "LogGroupResourcePolicyAnyPrincialIntegDefaultTestDeployAssert1A3C13F5.assets"
+        ],
+        "lookupRole": {
+          "arn": "arn:${AWS::Partition}:iam::${AWS::AccountId}:role/cdk-hnb659fds-lookup-role-${AWS::AccountId}-${AWS::Region}",
+          "requiresBootstrapStackVersion": 8,
+          "bootstrapStackVersionSsmParameter": "/cdk-bootstrap/hnb659fds/version"
+        }
+      },
+      "dependencies": [
+        "LogGroupResourcePolicyAnyPrincialIntegDefaultTestDeployAssert1A3C13F5.assets"
+      ],
+      "metadata": {
+        "/LogGroupResourcePolicyAnyPrincialInteg/DefaultTest/DeployAssert/BootstrapVersion": [
+          {
+            "type": "aws:cdk:logicalId",
+            "data": "BootstrapVersion"
+          }
+        ],
+        "/LogGroupResourcePolicyAnyPrincialInteg/DefaultTest/DeployAssert/CheckBootstrapVersion": [
+          {
+            "type": "aws:cdk:logicalId",
+            "data": "CheckBootstrapVersion"
+          }
+        ]
+      },
+      "displayName": "LogGroupResourcePolicyAnyPrincialInteg/DefaultTest/DeployAssert"
+    },
+    "Tree": {
+      "type": "cdk:tree",
+      "properties": {
+        "file": "tree.json"
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/tree.json b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/tree.json
new file mode 100644
index 0000000000000..e28d9e1adcc8f
--- /dev/null
+++ b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.js.snapshot/tree.json
@@ -0,0 +1,164 @@
+{
+  "version": "tree-0.1",
+  "tree": {
+    "id": "App",
+    "path": "",
+    "children": {
+      "aws-cdk-log-group-resource-policy-any-integ": {
+        "id": "aws-cdk-log-group-resource-policy-any-integ",
+        "path": "aws-cdk-log-group-resource-policy-any-integ",
+        "children": {
+          "LogGroup": {
+            "id": "LogGroup",
+            "path": "aws-cdk-log-group-resource-policy-any-integ/LogGroup",
+            "children": {
+              "Resource": {
+                "id": "Resource",
+                "path": "aws-cdk-log-group-resource-policy-any-integ/LogGroup/Resource",
+                "attributes": {
+                  "aws:cdk:cloudformation:type": "AWS::Logs::LogGroup",
+                  "aws:cdk:cloudformation:props": {
+                    "retentionInDays": 731
+                  }
+                },
+                "constructInfo": {
+                  "fqn": "aws-cdk-lib.aws_logs.CfnLogGroup",
+                  "version": "0.0.0"
+                }
+              },
+              "Policy": {
+                "id": "Policy",
+                "path": "aws-cdk-log-group-resource-policy-any-integ/LogGroup/Policy",
+                "children": {
+                  "ResourcePolicy": {
+                    "id": "ResourcePolicy",
+                    "path": "aws-cdk-log-group-resource-policy-any-integ/LogGroup/Policy/ResourcePolicy",
+                    "attributes": {
+                      "aws:cdk:cloudformation:type": "AWS::Logs::ResourcePolicy",
+                      "aws:cdk:cloudformation:props": {
+                        "policyDocument": {
+                          "Fn::Join": [
+                            "",
+                            [
+                              "{\"Statement\":[{\"Action\":\"logs:PutLogEvents\",\"Effect\":\"Allow\",\"Principal\":{\"AWS\":\"*\"},\"Resource\":\"",
+                              {
+                                "Fn::GetAtt": [
+                                  "LogGroupF5B46931",
+                                  "Arn"
+                                ]
+                              },
+                              "\"}],\"Version\":\"2012-10-17\"}"
+                            ]
+                          ]
+                        },
+                        "policyName": "awscdkloggroupresourcepolicyanyintegLogGroupPolicy69400813"
+                      }
+                    },
+                    "constructInfo": {
+                      "fqn": "aws-cdk-lib.aws_logs.CfnResourcePolicy",
+                      "version": "0.0.0"
+                    }
+                  }
+                },
+                "constructInfo": {
+                  "fqn": "aws-cdk-lib.aws_logs.ResourcePolicy",
+                  "version": "0.0.0"
+                }
+              }
+            },
+            "constructInfo": {
+              "fqn": "aws-cdk-lib.aws_logs.LogGroup",
+              "version": "0.0.0"
+            }
+          },
+          "BootstrapVersion": {
+            "id": "BootstrapVersion",
+            "path": "aws-cdk-log-group-resource-policy-any-integ/BootstrapVersion",
+            "constructInfo": {
+              "fqn": "aws-cdk-lib.CfnParameter",
+              "version": "0.0.0"
+            }
+          },
+          "CheckBootstrapVersion": {
+            "id": "CheckBootstrapVersion",
+            "path": "aws-cdk-log-group-resource-policy-any-integ/CheckBootstrapVersion",
+            "constructInfo": {
+              "fqn": "aws-cdk-lib.CfnRule",
+              "version": "0.0.0"
+            }
+          }
+        },
+        "constructInfo": {
+          "fqn": "aws-cdk-lib.Stack",
+          "version": "0.0.0"
+        }
+      },
+      "LogGroupResourcePolicyAnyPrincialInteg": {
+        "id": "LogGroupResourcePolicyAnyPrincialInteg",
+        "path": "LogGroupResourcePolicyAnyPrincialInteg",
+        "children": {
+          "DefaultTest": {
+            "id": "DefaultTest",
+            "path": "LogGroupResourcePolicyAnyPrincialInteg/DefaultTest",
+            "children": {
+              "Default": {
+                "id": "Default",
+                "path": "LogGroupResourcePolicyAnyPrincialInteg/DefaultTest/Default",
+                "constructInfo": {
+                  "fqn": "constructs.Construct",
+                  "version": "10.3.0"
+                }
+              },
+              "DeployAssert": {
+                "id": "DeployAssert",
+                "path": "LogGroupResourcePolicyAnyPrincialInteg/DefaultTest/DeployAssert",
+                "children": {
+                  "BootstrapVersion": {
+                    "id": "BootstrapVersion",
+                    "path": "LogGroupResourcePolicyAnyPrincialInteg/DefaultTest/DeployAssert/BootstrapVersion",
+                    "constructInfo": {
+                      "fqn": "aws-cdk-lib.CfnParameter",
+                      "version": "0.0.0"
+                    }
+                  },
+                  "CheckBootstrapVersion": {
+                    "id": "CheckBootstrapVersion",
+                    "path": "LogGroupResourcePolicyAnyPrincialInteg/DefaultTest/DeployAssert/CheckBootstrapVersion",
+                    "constructInfo": {
+                      "fqn": "aws-cdk-lib.CfnRule",
+                      "version": "0.0.0"
+                    }
+                  }
+                },
+                "constructInfo": {
+                  "fqn": "aws-cdk-lib.Stack",
+                  "version": "0.0.0"
+                }
+              }
+            },
+            "constructInfo": {
+              "fqn": "@aws-cdk/integ-tests-alpha.IntegTestCase",
+              "version": "0.0.0"
+            }
+          }
+        },
+        "constructInfo": {
+          "fqn": "@aws-cdk/integ-tests-alpha.IntegTest",
+          "version": "0.0.0"
+        }
+      },
+      "Tree": {
+        "id": "Tree",
+        "path": "Tree",
+        "constructInfo": {
+          "fqn": "constructs.Construct",
+          "version": "10.3.0"
+        }
+      }
+    },
+    "constructInfo": {
+      "fqn": "aws-cdk-lib.App",
+      "version": "0.0.0"
+    }
+  }
+}
\ No newline at end of file
diff --git a/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.ts b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.ts
new file mode 100644
index 0000000000000..972b4175f8571
--- /dev/null
+++ b/packages/@aws-cdk-testing/framework-integ/test/aws-logs/test/integ.log-resource-policy-any-principal.ts
@@ -0,0 +1,22 @@
+import { App, Stack, StackProps } from 'aws-cdk-lib';
+import { IntegTest } from '@aws-cdk/integ-tests-alpha';
+import { LogGroup } from 'aws-cdk-lib/aws-logs';
+import * as iam from 'aws-cdk-lib/aws-iam';
+
+class LogGroupIntegStack extends Stack {
+  constructor(scope: App, id: string, props?: StackProps) {
+    super(scope, id, props);
+    const logGroup = new LogGroup(this, 'LogGroup');
+    logGroup.addToResourcePolicy(new iam.PolicyStatement({
+      effect: iam.Effect.ALLOW,
+      actions: ['logs:PutLogEvents'],
+      principals: [new iam.AnyPrincipal()],
+      resources: [logGroup.logGroupArn],
+    }));
+  }
+}
+
+const app = new App();
+const stack = new LogGroupIntegStack(app, 'aws-cdk-log-group-resource-policy-any-integ');
+new IntegTest(app, 'LogGroupResourcePolicyAnyPrincialInteg', { testCases: [stack] });
+app.synth();
diff --git a/packages/aws-cdk-lib/aws-logs/lib/log-group.ts b/packages/aws-cdk-lib/aws-logs/lib/log-group.ts
index 3020102940dea..df607320eadeb 100644
--- a/packages/aws-cdk-lib/aws-logs/lib/log-group.ts
+++ b/packages/aws-cdk-lib/aws-logs/lib/log-group.ts
@@ -236,7 +236,7 @@ abstract class LogGroupBase extends Resource implements ILogGroup {
       return new iam.ArnPrincipal(principal.principalAccount);
     }
 
-    if (principal instanceof iam.ArnPrincipal) {
+    if (principal instanceof iam.ArnPrincipal && principal.arn !== '*') {
       const parsedArn = Arn.split(principal.arn, ArnFormat.SLASH_RESOURCE_NAME);
       if (parsedArn.account) {
         return new iam.ArnPrincipal(parsedArn.account);
diff --git a/packages/aws-cdk-lib/aws-logs/test/loggroup.test.ts b/packages/aws-cdk-lib/aws-logs/test/loggroup.test.ts
index 117634a2e0471..84f5b5004327f 100644
--- a/packages/aws-cdk-lib/aws-logs/test/loggroup.test.ts
+++ b/packages/aws-cdk-lib/aws-logs/test/loggroup.test.ts
@@ -477,6 +477,32 @@ describe('log group', () => {
     });
   });
 
+  test('log groups accept the AnyPrincipal policy', () => {
+    // GIVEN
+    const stack = new Stack();
+    const lg = new LogGroup(stack, 'LogGroup');
+
+    // WHEN
+    lg.addToResourcePolicy(new iam.PolicyStatement({
+      resources: ['*'],
+      actions: ['logs:PutLogEvents'],
+      principals: [new iam.AnyPrincipal()],
+    }));
+
+    // THEN
+    Template.fromStack(stack).hasResourceProperties('AWS::Logs::ResourcePolicy', {
+      PolicyDocument: JSON.stringify({
+        Statement: [{
+          Action: 'logs:PutLogEvents',
+          Effect: 'Allow',
+          Principal: { AWS: '*' },
+          Resource: '*',
+        }],
+        Version: '2012-10-17',
+      }),
+    });
+  });
+
   test('imported values are treated as if they are ARNs and converted to account IDs via CFN pseudo parameters', () => {
     // GIVEN
     const stack = new Stack();
@@ -793,4 +819,4 @@ class FakeDestination implements ILogSubscriptionDestination {
       arn: 'arn:bogus',
     };
   }
-}
\ No newline at end of file
+}