diff --git a/.travis.yml b/.travis.yml
index 880a3280f41..01c608b653f 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -4,7 +4,6 @@ os:
 #   - osx # Disable to speed up CI. JuMP has no binary dependency so the result
           # with osx and linux should be similar.
 julia:
-    - 0.6
     - 0.7
     - 1.0
 # This is left as an example for the next big version switch.
diff --git a/REQUIRE b/REQUIRE
index 17393aef058..3f3c0344fe6 100644
--- a/REQUIRE
+++ b/REQUIRE
@@ -1,4 +1,4 @@
-julia 0.6
+julia 0.7
 MathOptInterface 0.6.3 0.7
 ForwardDiff 0.5 0.11
 Calculus
diff --git a/appveyor.yml b/appveyor.yml
index ebb644b167f..f9684ee8c28 100644
--- a/appveyor.yml
+++ b/appveyor.yml
@@ -1,7 +1,6 @@
 environment:
   matrix:
-# - julia_version: 0.6 # Disabled to speed up CI, Julia v0.6 and v0.7 are still
-# - julia_version: 0.7 # tested on Linux with Travis
+# - julia_version: 0.7 # Disabled to speed up CI, tested on Linux with Travis
   - julia_version: 1.0
 
 platform: