diff --git a/homeassistant/package_constraints.txt b/homeassistant/package_constraints.txt
index 0894039d99a..d88ede1a1d9 100644
--- a/homeassistant/package_constraints.txt
+++ b/homeassistant/package_constraints.txt
@@ -39,6 +39,10 @@ urllib3>=1.24.3
 # Constrain httplib2 to protect against CVE-2020-11078
 httplib2>=0.18.0
 
+# gRPC 1.32+ currently causes issues on ARMv7, see:
+# https://github.com/home-assistant/core/issues/40148
+grpcio==1.31.0
+
 # This is a old unmaintained library and is replaced with pycryptodome
 pycrypto==1000000000.0.0
 
diff --git a/script/gen_requirements_all.py b/script/gen_requirements_all.py
index 27482a0c215..5e3a2d8b1f3 100755
--- a/script/gen_requirements_all.py
+++ b/script/gen_requirements_all.py
@@ -67,6 +67,10 @@ urllib3>=1.24.3
 # Constrain httplib2 to protect against CVE-2020-11078
 httplib2>=0.18.0
 
+# gRPC 1.32+ currently causes issues on ARMv7, see:
+# https://github.com/home-assistant/core/issues/40148
+grpcio==1.31.0
+
 # This is a old unmaintained library and is replaced with pycryptodome
 pycrypto==1000000000.0.0