Aziz died on Saturday evening "in hospital in Cairo, at the end of his fight against illness," Sameh al-Sirity, from the Egyptian Actors' Syndicate, told AFP.
His funeral will be held on Sunday in a mosque in a suburb of the capital.
Born in 1946 in the coastal city of Alexandria, Aziz cut his teeth in a string of television series before making the leap to the big screen.
He was most known for his role in the 1991 film "Al Kit-Kat", where he played an eccentric blind man who dreams of riding a motorcycle.
Although a comedy, the film, directed by Egyptian realist filmmaker Daoud Abdel Sayed, was critically acclaimed for its searing social commentary.
In 2001's "The Magician", Aziz plays a single father who falls in love with his next-door neighbour, whose husband has recently left her to raise her son alone.
Aziz, who was admired for his ability to reinvent himself throughout his career, took a controversial role in "Raafat El-Hagan", a 1980s television drama depicting the life of an Egyptian spy in Israel.
He was married to Egyptian actress Poussy Chalabi and is survived by two sons, Mohamed and Karim.