Yes, the property right belongs to the National Art Foundation. The National Art Foundation can entrust a third party to create plays, and the third party is equivalent to Party B, which is mainly responsible for the creation of plays, but cannot enjoy property rights. Because the National Art Foundation as Party A is the entrusting party to create plays, only the entrusting party can enjoy the property rights of plays, while the entrusted party is mainly responsible for the creation and cooperation of plays and cannot enjoy the property rights certification service protected by law, so the property rights belong to the National Art Foundation.