diff --git a/brp-python-bytecompile b/brp-python-bytecompile
index c6afd1e..fbbd02b 100755
--- a/brp-python-bytecompile
+++ b/brp-python-bytecompile
@@ -114,6 +114,10 @@ fi
 # For example, below /usr/lib/python2.6/, we're targeting /usr/bin/python2.6
 # and below /usr/lib/python3.1/, we're targeting /usr/bin/python3.1
 
+# Disable Python hash seed randomization
+# This should help with byte-compilation reproducibility: https://bugzilla.redhat.com/show_bug.cgi?id=1686078
+export PYTHONHASHSEED=0
+
 shopt -s nullglob
 for python_libdir in `find "$RPM_BUILD_ROOT" -type d|grep -E "/usr/lib(64)?/python[0-9]\.[0-9]+$"`;
 do
diff --git a/redhat-rpm-config.spec b/redhat-rpm-config.spec
index b9f85ce..4d0e760 100644
--- a/redhat-rpm-config.spec
+++ b/redhat-rpm-config.spec
@@ -6,7 +6,7 @@
 
 Summary: Red Hat specific rpm configuration files
 Name: redhat-rpm-config
-Version: 163
+Version: 164
 Release: 1%{?dist}
 # No version specified.
 License: GPL+
@@ -211,6 +211,9 @@ install -p -m 644 -t %{buildroot}%{_rpmluadir}/fedora/srpm forge.lua
 %{_rpmconfigdir}/macros.d/macros.kmp
 
 %changelog
+* Thu Jul 23 2020 Lumír Balhar <lbalhar@redhat.com> - 164-1
+- Disable Python hash seed randomization in brp-python-bytecompile
+
 * Tue Jul 21 2020 Jeff Law <law@redhat.com> - 163-1
 - Enable LTO by default