diff --git a/requirements.txt b/requirements.txt
index 4e834b4..d8671d3 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1 +1 @@
-pyasn1>=0.3.4
+pyasn1~=0.3.4
diff --git a/setup.py b/setup.py
index 12b64da..de8cd26 100644
--- a/setup.py
+++ b/setup.py
@@ -67,7 +67,7 @@ def howto_install_setuptools():
     from setuptools import setup, Command
 
     params = {
-        'install_requires': ['pyasn1>=0.3.4'],
+        'install_requires': ['pyasn1~=0.3.4'],
         'zip_safe': True
     }
 
@@ -81,7 +81,7 @@ def howto_install_setuptools():
     params = {}
 
     if sys.version_info[:2] > (2, 4):
-        params['requires'] = ['pyasn1(>=0.3.4)']
+        params['requires'] = ['pyasn1(~=0.3.4)']
 
 params.update(
     {'name': 'pyasn1-modules',