diff --git a/src/bindings/python/constraints.txt b/src/bindings/python/constraints.txt
index bc9438949272c9..16af6997f675f6 100644
--- a/src/bindings/python/constraints.txt
+++ b/src/bindings/python/constraints.txt
@@ -17,7 +17,7 @@ patchelf<=0.17.2.1
 packaging>=22.0
 
 # Frontends
-h5py>=3.1.0,<3.14.0
+h5py>=3.1.0,<3.16.0
 docopt~=0.6.2
 paddlepaddle==2.6.2
 tensorflow>=1.15.5,<2.18.0