diff --git a/CHANGELOG.rst b/CHANGELOG.rst
index 0c07aa41..3faf5f4d 100644
--- a/CHANGELOG.rst
+++ b/CHANGELOG.rst
@@ -1,6 +1,12 @@
 Master Branch
 =============
 
+Version 4.2.7 (2021-05-11)
+==========================
+
+ADDED:
+  * Support for approximate multivariate raw moments.
+
 Version 4.2.6 (2021-05-10)
 ==========================
 
diff --git a/chaospy/distributions/approximation.py b/chaospy/distributions/approximation.py
index e84b67a8..e09b39dd 100644
--- a/chaospy/distributions/approximation.py
+++ b/chaospy/distributions/approximation.py
@@ -187,11 +187,20 @@ def approximate_moment(
 
     """
     assert isinstance(distribution, chaospy.Distribution)
-    k_loc = tuple(numpy.asarray(k_loc).tolist())
-    assert len(k_loc) == len(distribution), "incorrect size of exponents"
+    k_loc = numpy.asarray(k_loc)
+    if len(distribution) > 1:
+        assert not distribution.stochastic_dependent, (
+            "Dependent distributions does not support moment approximation.")
+        assert len(k_loc) == len(distribution), "incorrect size of exponents"
+        return numpy.prod([
+            approximate_moment(distribution[idx], (k_loc[idx],),
+                               order=order, rule=rule, **kwargs)
+            for idx in range(len(distribution))
+        ], axis=0)
+
+    k_loc = tuple(k_loc.tolist())
     assert all([isinstance(k, int) for k in k_loc]), (
         "exponents must be integers: %s found" % type(k_loc[0]))
-    assert len(distribution) == 1, "only 1-D distributions support approximate moment."
 
     order = int(1e5 if order is None else order)
     if (distribution, order) not in MOMENTS_QUADS:
diff --git a/pyproject.toml b/pyproject.toml
index d56d5309..bee972ba 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -4,7 +4,7 @@ build-backend = "poetry.masonry.api"
 
 [tool.poetry]
 name = "chaospy"
-version = "4.2.6"
+version = "4.2.7"
 description = "Numerical tool for perfroming uncertainty quantification"
 license = "MIT"
 authors = ["Jonathan Feinberg"]