Vitoria Setubal, where Felix Mourinho played and later worked as coach and club director, said he died on Sunday. The club did not give the cause of death.
Felix Mourinho helped Setubal to victory in the Portuguese Cup final in 1965, beating powerhouse Benfica 3-1. He made his only appearance for Portugal's national team in 1972.
Jose Mourinho posted a black-and-white photograph of himself as a boy with his father on his Instagram account but made no public comment.
Felix Mourinho will be buried on Tuesday in Setubal, a city 40km south of Lisbon.