diff --git a/test/expect/HasDecompTest.test_aten_core_operators.expect b/test/expect/HasDecompTest.test_aten_core_operators.expect
index 53c5cf70d248..77b178f7aa9b 100644
--- a/test/expect/HasDecompTest.test_aten_core_operators.expect
+++ b/test/expect/HasDecompTest.test_aten_core_operators.expect
@@ -509,8 +509,6 @@ aten::tril_indices
 aten::tril_indices.out
 aten::triu_indices
 aten::triu_indices.out
-aten::trunc
-aten::trunc.out
 aten::trunc_
 aten::unbind.int
 aten::unfold
diff --git a/torch/_decomp/__init__.py b/torch/_decomp/__init__.py
index 247f8eabd8e1..fbe739659acc 100644
--- a/torch/_decomp/__init__.py
+++ b/torch/_decomp/__init__.py
@@ -368,6 +368,7 @@ def core_aten_decompositions() -> Dict[torch._ops.OperatorBase, Callable]:
             aten.tril_,
             aten.triu,
             aten.triu_,
+            aten.trunc,
             aten.unfold_backward,
             aten.unfold_copy,
             aten._unsafe_index,
diff --git a/torch/_decomp/decompositions.py b/torch/_decomp/decompositions.py
index 9b4b1c7a637f..26ea67f2d87e 100644
--- a/torch/_decomp/decompositions.py
+++ b/torch/_decomp/decompositions.py
@@ -4020,6 +4020,11 @@ def scaled_dot_product_flash_attention(
     )
 
 
+@register_decomposition([aten.trunc])
+def trunc(self: Tensor) -> Tensor:
+    return torch.where(self > 0, torch.floor(self), torch.ceil(self))
+
+
 def register_inplace(aten_op, outplace_op):
     @register_decomposition(aten_op)
     def inplace_op(*args, **kwargs):
diff --git a/torch/_inductor/decomposition.py b/torch/_inductor/decomposition.py
index 3a7da0670d96..c034f840a270 100644
--- a/torch/_inductor/decomposition.py
+++ b/torch/_inductor/decomposition.py
@@ -71,6 +71,7 @@
 decomps_to_exclude = [
     aten._unsafe_index,
     aten._scaled_dot_product_flash_attention.default,  # See comments in torch/_decomp/decompositions.py
+    aten.trunc,
 ]
 
 remove_decompositions(decompositions, decomps_to_exclude)
diff --git a/torch/_refs/__init__.py b/torch/_refs/__init__.py
index f001c72717c2..80fba10b2af4 100644
--- a/torch/_refs/__init__.py
+++ b/torch/_refs/__init__.py
@@ -945,9 +945,14 @@ def tanh(a):
     return prims.tanh(a)
 
 
-@_make_elementwise_unary_reference(ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT)
-def trunc(a):
-    return prims.trunc(a)
+@out_wrapper()
+@elementwise_unary_scalar_wrapper
+@elementwise_type_promotion_wrapper(
+    type_promoting_args=("a",),
+    type_promotion_kind=ELEMENTWISE_TYPE_PROMOTION_KIND.DEFAULT,
+)
+def trunc(a: TensorLikeType) -> TensorLikeType:
+    return handle_noncontiguous_outputs([a], prims.trunc(a))
 
 
 # TODO: register this as a real ref/decomposition once TorchInductor supports complex!