diff --git a/lower-constraints.txt b/lower-constraints.txt
index 2593dd309a..7993a18325 100644
--- a/lower-constraints.txt
+++ b/lower-constraints.txt
@@ -109,7 +109,7 @@ python-subunit==1.0.0
 python-swiftclient==3.2.0
 python-troveclient==2.2.0
 python-zaqarclient==1.0.0
-python-zunclient==1.3.0
+python-zunclient==3.4.0
 pytz==2013.6
 PyYAML==3.12
 repoze.lru==0.7
diff --git a/test-requirements.txt b/test-requirements.txt
index 64e7a0773b..4db30c7fca 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -38,4 +38,4 @@ python-searchlightclient>=1.0.0 #Apache-2.0
 python-senlinclient>=1.1.0 # Apache-2.0
 python-troveclient>=2.2.0 # Apache-2.0
 python-zaqarclient>=1.0.0 # Apache-2.0
-python-zunclient>=1.3.0 # Apache-2.0
+python-zunclient>=3.4.0 # Apache-2.0