diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 5448dd27..ebb53eea 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -31,11 +31,6 @@ jobs:
             os: ubuntu-latest
             toxenv: py38
 
-          - name: Python 3.7 Schema validation tests
-            python-version: 3.7
-            os: ubuntu-latest
-            toxenv: py37
-
           - name: Twine check
             python-version: 3.9
             os: ubuntu-latest
diff --git a/CHANGES.rst b/CHANGES.rst
index a9f04bbf..0693a10f 100644
--- a/CHANGES.rst
+++ b/CHANGES.rst
@@ -1,3 +1,8 @@
+1.0.2 (unreleased)
+------------------
+
+- Pin astropy min version to 5.0.4. [#310]
+
 1.0.1 (2022-02-23)
 ------------------
 
diff --git a/setup.cfg b/setup.cfg
index 255a7b26..aca3bd4d 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -14,7 +14,7 @@ project_urls =
     Source Code = https://github.com/asdf-format/asdf-standard
 
 [options]
-python_requires = >=3.7
+python_requires = >=3.8
 zip_safe = true
 setup_requires =
     setuptools
@@ -32,7 +32,7 @@ test =
     pytest-sugar
     pyyaml
     asdf >= 2.8.0
-    astropy
+    astropy >= 5.0.4
     gwcs
     packaging>=16.0