diff --git a/ivy/functional/backends/jax/statistical.py b/ivy/functional/backends/jax/statistical.py
index bff5fca9a2d1e..d03e9411f2561 100644
--- a/ivy/functional/backends/jax/statistical.py
+++ b/ivy/functional/backends/jax/statistical.py
@@ -147,7 +147,7 @@ def var(
 # ------#
 
 
-@with_unsupported_dtypes({"0.4.23 and below": "bfloat16"}, backend_version)
+@with_unsupported_dtypes({"0.4.23 and below": ("bfloat16", "bool")}, backend_version)
 def cumprod(
     x: JaxArray,
     /,
diff --git a/ivy/functional/backends/numpy/statistical.py b/ivy/functional/backends/numpy/statistical.py
index cba78d4124988..bffc814767cc3 100644
--- a/ivy/functional/backends/numpy/statistical.py
+++ b/ivy/functional/backends/numpy/statistical.py
@@ -178,7 +178,7 @@ def var(
 # ------#
 
 
-@with_unsupported_dtypes({"1.26.3 and below": ("bfloat16",)}, backend_version)
+@with_unsupported_dtypes({"1.26.3 and below": ("bfloat16", "bool")}, backend_version)
 def cumprod(
     x: np.ndarray,
     /,
diff --git a/ivy/functional/backends/tensorflow/statistical.py b/ivy/functional/backends/tensorflow/statistical.py
index f111a2804e5a1..95db57526ef9b 100644
--- a/ivy/functional/backends/tensorflow/statistical.py
+++ b/ivy/functional/backends/tensorflow/statistical.py
@@ -178,7 +178,7 @@ def var(
 # ------#
 
 
-@with_unsupported_dtypes({"2.15.0 and below": "bfloat16"}, backend_version)
+@with_unsupported_dtypes({"2.15.0 and below": ("bfloat16", "bool")}, backend_version)
 def cumprod(
     x: Union[tf.Tensor, tf.Variable],
     /,
diff --git a/ivy/functional/backends/torch/statistical.py b/ivy/functional/backends/torch/statistical.py
index 76030c794dfb6..eb4666237ae0c 100644
--- a/ivy/functional/backends/torch/statistical.py
+++ b/ivy/functional/backends/torch/statistical.py
@@ -245,7 +245,7 @@ def var(
 # TODO: bfloat16 support is added in PyTorch 1.12.1
 @with_unsupported_dtypes(
     {
-        "2.1.2 and below": ("uint8", "float16", "bfloat16"),
+        "2.1.2 and below": ("uint8", "float16", "bfloat16", "bool"),
     },
     backend_version,
 )
diff --git a/ivy_tests/test_ivy/test_functional/test_core/test_statistical.py b/ivy_tests/test_ivy/test_functional/test_core/test_statistical.py
index 4d5066ded502d..7c6cd30e28a00 100644
--- a/ivy_tests/test_ivy/test_functional/test_core/test_statistical.py
+++ b/ivy_tests/test_ivy/test_functional/test_core/test_statistical.py
@@ -108,6 +108,7 @@ def _statistical_dtype_values(draw, *, function, min_value=None, max_value=None)
     dtype_x_axis_castable=_get_castable_dtype(),
     exclusive=st.booleans(),
     reverse=st.booleans(),
+    test_gradients=st.just(False),
 )
 def test_cumprod(
     *,