diff --git a/src/bindings/python/constraints.txt b/src/bindings/python/constraints.txt
index 45b32a4819f..141f624b1db 100644
--- a/src/bindings/python/constraints.txt
+++ b/src/bindings/python/constraints.txt
@@ -16,6 +16,7 @@ wheel>=0.38.1
 patchelf<=0.17.2.1
 
 # Frontends
+h5py>=3.1.0,<3.11.0
 docopt~=0.6.2
 paddlepaddle==2.5.2
 tensorflow>=1.15.5,<2.17.0
diff --git a/src/frontends/tensorflow/tests/requirements.txt b/src/frontends/tensorflow/tests/requirements.txt
index a1064f488d6..acd2541a9c5 100644
--- a/src/frontends/tensorflow/tests/requirements.txt
+++ b/src/frontends/tensorflow/tests/requirements.txt
@@ -1,5 +1,4 @@
 -c ../../../bindings/python/constraints.txt
 numpy
-tensorflow
-# limit h5py version for Linux arm64, 3.11 version failed
-h5py<3.11.0; sys_platform == 'linux' and platform_machine == 'aarch64'
\ No newline at end of file
+h5py
+tensorflow
\ No newline at end of file
diff --git a/tests/constraints.txt b/tests/constraints.txt
index 38527f3c045..7d7ae43ce6f 100644
--- a/tests/constraints.txt
+++ b/tests/constraints.txt
@@ -1,7 +1,7 @@
 numpy>=1.16.6,<1.27
 attrs==23.2.0
 distro==1.9.0
-h5py>=3.1.0
+h5py>=3.1.0,<3.11.0
 Jinja2>=2.11.2
 pandas>=1.3.5
 pymongo>=3.12.0
diff --git a/tools/constraints.txt b/tools/constraints.txt
index e91d858e4ea..27e82e15334 100644
--- a/tools/constraints.txt
+++ b/tools/constraints.txt
@@ -2,6 +2,7 @@
 # some package versions need to be specified in respective requirements.txt
 # files because the version differs between them:
 # tensorflow, numpy
+h5py>=3.1.0,<3.11.0
 mxnet~=1.2.0; sys_platform == 'win32'
 mxnet>=1.7.0.post2,<=1.9.1; sys_platform != 'win32'
 onnx>=1.8.1,<=1.15.0
diff --git a/tools/mo/requirements_tf.txt b/tools/mo/requirements_tf.txt
index e32f7e076bc..f83e3ee69f4 100644
--- a/tools/mo/requirements_tf.txt
+++ b/tools/mo/requirements_tf.txt
@@ -1,4 +1,5 @@
 -c ../constraints.txt
+h5py
 tensorflow>=1.15.5,<2.17.0
 numpy>=1.16.6,<1.26
 networkx
diff --git a/tools/mo/requirements_tf2.txt b/tools/mo/requirements_tf2.txt
index 3aa9a1f82e5..af80835e372 100644
--- a/tools/mo/requirements_tf2.txt
+++ b/tools/mo/requirements_tf2.txt
@@ -1,4 +1,5 @@
 -c ../constraints.txt
+h5py
 tensorflow>=2.5,<2.17.0
 numpy>=1.16.6,<1.26
 networkx