diff --git a/README.md b/README.md
index a3550d42e207..71e1de355db8 100644
--- a/README.md
+++ b/README.md
@@ -72,6 +72,11 @@ Apache Airflow is tested with:
 * MySQL DB: 5.6, 5.7
 * Sqlite - latest stable (it is used mainly for development purpose)
 
+### Additional notes on Python version requirements
+
+* Stable version [requires](https://github.com/apache/airflow/issues/8162) at least Python 3.5.3 when using Python 3
+* Both versions are currently incompatible with Python 3.8 due to [a known compatibility issue](https://github.com/Tinche/cattrs/issues/77) with a dependent library
+
 ## Getting started
 
 Please visit the Airflow Platform documentation (latest **stable** release) for help with [installing Airflow](https://airflow.apache.org/installation.html), getting a [quick start](https://airflow.apache.org/start.html), or a more complete [tutorial](https://airflow.apache.org/tutorial.html).