The ban covers the main Facebook app, as well as apps from its subsidiary companies WhatsApp and Instagram.
The action was taken in response to US government action in May to bar US companies from using foreign telecom firms it regards as a security risk.
People who already own a Huawei phone and have the relevant apps installed can still continue to use them.
Facebook said they would also continue to supply updates to existing users on Huawei phones.
Huawei has not commented on the Facebook decision.