diff --git a/base/float.jl b/base/float.jl
index fe07ffb6902a7..25102f652ad62 100644
--- a/base/float.jl
+++ b/base/float.jl
@@ -196,7 +196,7 @@ function Float16(val::Float32)
     # NOTE: we maybe should ignore NaNs here, but the payload is
     # getting truncated anyway so "rounding" it might not matter
     nextbit = (f >> (sh-1)) & 1
-    if nextbit != 0
+    if nextbit != 0 && (h & 0x7C00) != 0x7C00
         # Round halfway to even or check lower bits
         if h&1 == 1 || (f & ((1<<(sh-1))-1)) != 0
             h += UInt16(1)
diff --git a/test/float16.jl b/test/float16.jl
index d32387ee94277..4dd581f76538f 100644
--- a/test/float16.jl
+++ b/test/float16.jl
@@ -177,3 +177,6 @@ const minsubf16_32 = Float32(minsubf16)
 # Ties to even, in this case up
 @test Float16(minsubf16_32 + f16eps2) == nextfloat(minsubf16)
 @test Float16(prevfloat(minsubf16_32 + f16eps2)) == minsubf16
+
+# issues #33076
+@test Float16(1f5) == Inf16