diff --git a/tripy/tests/integration/test_groupnorm.py b/tripy/tests/integration/test_groupnorm.py
new file mode 100644
index 000000000..11ac2967e
--- /dev/null
+++ b/tripy/tests/integration/test_groupnorm.py
@@ -0,0 +1,61 @@
+#
+# SPDX-FileCopyrightText: Copyright (c) 1993-2024 NVIDIA CORPORATION & AFFILIATES. All rights reserved.
+# SPDX-License-Identifier: Apache-2.0
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#
+
+import numpy as np
+import torch
+import pytest
+
+import tripy as tp
+from tripy.common.exception import TripyException
+
+DTYPES = [
+    (torch.float16, tp.float16),
+    (torch.float32, tp.float32)
+]
+
+class TestGroupNorm:
+    @pytest.mark.parametrize("torch_dtype, tp_dtype", DTYPES)
+    @pytest.mark.parametrize("input_shape", [(1, 10, 2)])
+    @pytest.mark.parametrize("num_groups", [2, 5])
+    @pytest.mark.parametrize("num_channels", [10])
+    @pytest.mark.parametrize("eps", [1e-5, 1e-3])
+    def test_groupnorm_accuracy(self, torch_dtype, tp_dtype, input_shape, num_groups, num_channels, eps):
+        groupnorm = torch.nn.GroupNorm(
+            num_groups=num_groups,
+            num_channels=num_channels,
+            eps=eps,
+            dtype=torch_dtype,
+        )
+        tp_groupnorm = tp.GroupNorm(
+            num_groups=num_groups,
+            num_channels=num_channels,
+            eps=eps,
+            dtype=tp_dtype,
+        )
+
+        tp_groupnorm.weight = tp.Parameter(groupnorm.weight)
+        tp_groupnorm.bias = tp.Parameter(groupnorm.bias)
+
+        input = torch.arange(torch.prod(torch.Tensor(input_shape))).reshape(input_shape).to(torch_dtype)
+        tp_input = tp.Tensor(input, dtype=tp_dtype)
+
+        output = tp_groupnorm(tp_input)
+        expected = tp.Tensor(groupnorm(input), device=tp.device("cpu"))
+
+        rtol_ = 2e-6 if tp_dtype == tp.float32 else 1e-3
+        assert output.shape == expected.shape
+        assert tp.allclose(output, expected, rtol=rtol_)
\ No newline at end of file
diff --git a/tripy/tests/integration/test_layernorm.py b/tripy/tests/integration/test_layernorm.py
new file mode 100644
index 000000000..7f297fb49
--- /dev/null
+++ b/tripy/tests/integration/test_layernorm.py
@@ -0,0 +1,68 @@
+#
+# SPDX-FileCopyrightText: Copyright (c) 1993-2024 NVIDIA CORPORATION & AFFILIATES. All rights reserved.
+# SPDX-License-Identifier: Apache-2.0
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#
+
+import numpy as np
+import re
+import torch
+import pytest
+
+import tripy as tp
+from tripy.common.exception import TripyException
+
+DTYPES = [
+    (torch.float16, tp.float16),
+    (torch.float32, tp.float32)
+]
+
+class TestLayerNorm:
+    @pytest.mark.parametrize("torch_dtype, tp_dtype", DTYPES)
+    @pytest.mark.parametrize("input_shape", [(2, 2, 2)])
+    @pytest.mark.parametrize("normalized_shape", [(2, 2), (2,)])
+    @pytest.mark.parametrize("eps", [1e-5, 1e-3])
+    def test_layernorm_accuracy(self, torch_dtype, tp_dtype, input_shape, normalized_shape, eps):
+        layernorm = torch.nn.LayerNorm(
+            normalized_shape=normalized_shape,
+            eps=eps,
+            dtype=torch_dtype,
+        )
+        tp_layernorm = tp.LayerNorm(
+            normalized_shape=normalized_shape,
+            eps=eps,
+            dtype=tp_dtype,
+        )
+
+        # use Tripy's parameters
+        tp_layernorm.weight = tp.Parameter(layernorm.weight)
+        tp_layernorm.bias = tp.Parameter(layernorm.bias)
+
+        input = torch.arange(torch.prod(torch.Tensor(input_shape))).reshape(input_shape).to(torch_dtype)
+        tp_input = tp.Tensor(input, dtype=tp_dtype)
+
+        output = tp_layernorm(tp_input)
+        expected = tp.Tensor(layernorm(input), device=tp.device("cpu"))
+
+        rtol_ = 2e-7 if tp_dtype == tp.float32 else 1e-3
+        assert output.shape == expected.shape
+        assert tp.allclose(output, expected, rtol=rtol_)
+
+    def test_layernorm_improper_dimensions(self):
+        tp_layernorm = tp.LayerNorm(
+            normalized_shape=[2, 2],
+        )
+        x = tp.ones((5,5,5))
+        with pytest.raises(TripyException, match=re.escape("The input's last 2 dimensions must have a shape of [2, 2] and received [5, 5]")):
+            tp_layernorm(x)
\ No newline at end of file
diff --git a/tripy/tripy/frontend/module/groupnorm.py b/tripy/tripy/frontend/module/groupnorm.py
index 80150963a..e766be8fa 100644
--- a/tripy/tripy/frontend/module/groupnorm.py
+++ b/tripy/tripy/frontend/module/groupnorm.py
@@ -55,7 +55,7 @@ class GroupNorm(Module):
     eps: float
     """A value added to the denominator to prevent division by zero. Defaults to 1e-5."""
 
-    def __init__(self, num_groups: int, num_channels: int, dtype: datatype.dtype = datatype.float32) -> None:
+    def __init__(self, num_groups: int, num_channels: int, dtype: datatype.dtype = datatype.float32, eps: float = 1e-5) -> None:
         """
         Args:
             num_groups: The number of groups to split the channels into.
@@ -97,7 +97,7 @@ def __init__(self, num_groups: int, num_channels: int, dtype: datatype.dtype = d
         # Replace with random weights when #74 is completed.
         self.weight = DefaultParameter((num_channels,), dtype=dtype)
         self.bias = DefaultParameter((num_channels,), dtype=dtype)
-        self.eps = 1e-5
+        self.eps = eps
 
     def __call__(self, x: "tripy.Tensor") -> "tripy.Tensor":
         r"""
diff --git a/tripy/tripy/frontend/module/layernorm.py b/tripy/tripy/frontend/module/layernorm.py
index 1ba892c86..d62c4bb33 100644
--- a/tripy/tripy/frontend/module/layernorm.py
+++ b/tripy/tripy/frontend/module/layernorm.py
@@ -16,6 +16,7 @@
 #
 
 from dataclasses import dataclass
+from typing import Union, Tuple
 
 from tripy import export, utils
 from tripy.common import datatype
@@ -25,7 +26,7 @@
 
 @export.public_api(document_under="operations/modules")
 @dataclass
-@utils.constant_fields(["dtype"])
+@utils.constant_fields(["dtype", "normalized_shape"])
 class LayerNorm(Module):
     r"""
     Applies layer normalization over the input tensor:
@@ -33,11 +34,17 @@ class LayerNorm(Module):
     :math:`\text{LayerNorm}(x) = \Large \frac{x - \bar{x}}{ \sqrt{\sigma^2 + \epsilon}} \normalsize * \gamma + \beta`
 
     where :math:`\bar{x}` is the mean and :math:`\sigma^2` is the variance.
+
+    The mean and standard deviation are calculated over the last :math:`D`
+    dimensions, where :math:`D` is the dimension of `normalized_shape`.
     """
 
     dtype: datatype.dtype
     r"""The data type used to perform the operation."""
 
+    normalized_shape: Tuple[int]
+    r"""Defines the shape of the input tensor that is to be normalized over."""
+
     weight: Parameter
     r"""The :math:`\gamma` parameter of shape :math:`[\text{normalized_shape}]`."""
 
@@ -47,7 +54,7 @@ class LayerNorm(Module):
     eps: float
     """A value added to the denominator to prevent division by zero."""
 
-    def __init__(self, normalized_shape: int, dtype: datatype.dtype = datatype.float32, eps: float = 1e-5) -> None:
+    def __init__(self, normalized_shape: Union[int, Tuple[int]], dtype: datatype.dtype = datatype.float32, eps: float = 1e-5) -> None:
         """
         Args:
             normalized_shape: The size of the feature dimension of the input over which normalization is performed.
@@ -77,9 +84,14 @@ def __init__(self, normalized_shape: int, dtype: datatype.dtype = datatype.float
         self.dtype = dtype
 
         # Replace with random weights when #74 is completed.
-        self.weight = DefaultParameter((normalized_shape,), dtype=dtype)
+        if isinstance(normalized_shape, int):
+            normalized_shape = (normalized_shape,)
+
+        self.normalized_shape = normalized_shape
 
-        self.bias = DefaultParameter((normalized_shape,), dtype=dtype)
+        self.weight = DefaultParameter(normalized_shape, dtype=dtype)
+
+        self.bias = DefaultParameter(normalized_shape, dtype=dtype)
 
         self.eps = eps
 
@@ -92,9 +104,20 @@ def __call__(self, x: "tripy.Tensor") -> "tripy.Tensor":
             A tensor of the same shape as the input.
         """
         from tripy.frontend.trace.ops.reduce import mean, var
+        from tripy.frontend.shape import Shape
         from tripy.frontend.trace.ops.unary_elementwise import rsqrt
+        from tripy.common.exception import raise_error
+
+        # The mean and the variance are computed over the last D dimensions
+        D = len(self.normalized_shape)
+
+        if x.shape[-D:] != self.normalized_shape:
+            raise_error("Unexpected input shape",
+                [f"The input's last {D} dimensions must have a shape of {self.normalized_shape} and received {x.shape[-D:].data()}"]
+            )
 
-        mean_val = mean(x, dim=-1, keepdim=True)
-        var_val = var(x, dim=-1, keepdim=True, correction=0) + self.eps
+        reduce_dims = tuple(-i for i in range(D, 0, -1))
+        mean_val = mean(x, dim=reduce_dims, keepdim=True)
+        var_val = var(x, dim=reduce_dims, keepdim=True, correction=0) + self.eps
         x = (x - mean_val) * rsqrt(var_val)
         return self.weight * x + self.bias