diff --git a/lower-constraints.txt b/lower-constraints.txt
index f175fe2c..e68fbb39 100644
--- a/lower-constraints.txt
+++ b/lower-constraints.txt
@@ -2,11 +2,11 @@ alabaster==0.7.10
 appdirs==1.3.0
 asn1crypto==0.23.0
 Babel==2.3.4
-cffi==1.7.0
+cffi==1.14.0
 cliff==2.8.0
 cmd2==0.8.0
 coverage==4.0
-cryptography==2.1
+cryptography==2.7
 debtcollector==1.2.0
 decorator==3.4.0
 deprecation==1.0
@@ -24,7 +24,7 @@ jsonpointer==1.13
 jsonschema==2.6.0
 keystoneauth1==3.4.0
 linecache2==1.0.0
-MarkupSafe==1.0
+MarkupSafe==1.1.1
 mock==2.0.0
 monotonic==0.6
 mox3==0.20.0
@@ -56,7 +56,7 @@ python-novaclient==9.1.0
 python-subunit==1.0.0
 python-swiftclient==3.2.0
 pytz==2013.6
-PyYAML==3.12
+PyYAML==3.13
 requests==2.18.0
 requestsexceptions==1.2.0
 simplejson==3.5.1
diff --git a/requirements.txt b/requirements.txt
index b5832e0e..2977b7f6 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -4,7 +4,7 @@
 pbr!=2.1.0,>=2.0.0 # Apache-2.0
 Babel!=2.4.0,>=2.3.4 # BSD
 cliff!=2.9.0,>=2.8.0 # Apache-2.0
-PyYAML>=3.12 # MIT
+PyYAML>=3.13 # MIT
 python-dateutil>=2.5.3 # BSD
 six>=1.10.0 # MIT
 tosca-parser>=1.6.1 # Apache-2.0