diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
new file mode 100644
index 000000000..de584153c
--- /dev/null
+++ b/.github/workflows/tests.yml
@@ -0,0 +1,23 @@
+name: Run tests
+
+on: [push, pull_request]
+
+jobs:
+  test:
+    runs-on: ${{ matrix.os }}
+    strategy:
+      matrix:
+        julia-version: ['1.0', '1.1', '1.2', '1.3', '1.4', '1', 'nightly']
+        julia-arch: [x64, x86]
+        os: [ubuntu-latest, windows-latest, macOS-latest]
+        exclude:
+          - os: macOS-latest
+            julia-arch: x86
+     fail-fast: false
+
+    steps:
+      - uses: actions/checkout@v2
+      - uses: julia-actions/setup-julia@v1
+        with:
+          version: ${{ matrix.julia-version }}
+      - uses: julia-actions/julia-runtest@v1
diff --git a/.travis.yml b/.travis.yml
deleted file mode 100644
index 0d5cbeff6..000000000
--- a/.travis.yml
+++ /dev/null
@@ -1,14 +0,0 @@
-language: julia
-os:
-    - linux
-    - osx
-julia:
-    - 1.0
-    - 1.1
-    - 1.2
-    - 1.3
-    - 1.4
-    - 1.5
-    - nightly
-notifications:
-  email: false
diff --git a/README.md b/README.md
index 757f75c5a..28dfce0ce 100644
--- a/README.md
+++ b/README.md
@@ -1,7 +1,6 @@
 # Compat Package for Julia
 
-[![Build Status](https://travis-ci.org/JuliaLang/Compat.jl.svg?branch=master)](https://travis-ci.org/JuliaLang/Compat.jl)
-[![Build status](https://ci.appveyor.com/api/projects/status/github/JuliaLang/Compat.jl?branch=master)](https://ci.appveyor.com/project/quinnj/compat-jl/branch/master)
+![Tests](https://github.com/JuliaLang/Compat.jl/workflows/Run%20tests/badge.svg)
 
 The **Compat** package is designed to ease interoperability between
 older and newer versions of the [Julia
diff --git a/appveyor.yml b/appveyor.yml
deleted file mode 100644
index 75774708b..000000000
--- a/appveyor.yml
+++ /dev/null
@@ -1,41 +0,0 @@
-environment:
-  matrix:
-  - julia_version: 1.0
-  - julia_version: 1.1
-  - julia_version: 1.2
-  - julia_version: 1.3
-  - julia_version: 1.4
-  - julia_version: 1.5
-  - julia_version: latest
-
-platform:
-  - x86 # 32-bit
-  - x64 # 64-bit
-
-## uncomment the following lines to allow failures on nightly julia
-## (tests will run but not make your overall status red)
-#matrix:
-#  allow_failures:
-#  - julia_version: latest
-
-branches:
-  only:
-    - master
-    - /release-.*/
-
-notifications:
-  - provider: Email
-    on_build_success: false
-    on_build_failure: false
-    on_build_status_changed: false
-
-install:
-  - ps: iex ((new-object net.webclient).DownloadString("https://raw.githubusercontent.com/JuliaCI/Appveyor.jl/version-1/bin/install.ps1"))
-
-build_script:
-  - echo "%JL_BUILD_SCRIPT%"
-  - C:\julia\bin\julia -e "%JL_BUILD_SCRIPT%"
-
-test_script:
-  - echo "%JL_TEST_SCRIPT%"
-  - C:\julia\bin\julia -e "%JL_TEST_SCRIPT%"