He also confirmed that Sharif, who played a wide range of dashing and dignified characters while building a reputation as an expert bridge player, had been suffering from Alzheimer's disease.
Tributes to Sharif were quick to flow on social media.
Egyptian actor Khaled El Nabawy on his Twitter feed, @KhaledElNabawy, said: "RIP OMAR SHARIF,Good bye to a living legend,good bye to a source of inspiration for generations to come."
Sharif won international fame and an Oscar-nomination for best supporting actor for his role in "Lawrence of Arabia" with Peter O'Toole. He later became a huge star in his own right for his portrayal of the title character in the film based on Boris Pasternak's novel "Doctor Zhivago".
Born Michel Shalhoub on April 10, 1932, to a wealthy family in Alexandria, Egypt, Sharif became interested in acting while studying mathematics and physics at university in Cairo.
He worked in his father's timber business for several years before realizing his dream with a role in an Egyptian movie, "The Blazing Sun," in 1954 opposite the Middle East's biggest female star, Faten Hamama.
Raised as a Roman Catholic, Sharif converted to Islam and married Hamama in 1955, taking on his new name. They had a son, Tarek, who at age 9 played Yuri in "Doctor Zhivago", but the couple divorced in 1974.
Hamama died in January of this year.
Despite Sharif's image as a sex symbol and eligible bachelor, he did not remarry, saying he never fell in love with another woman.
"I've always been extremely lucky in my life," he told Al Jazeera television in 2007, while reflecting on how he "might have been happier" staying in Egypt where he had a contented family life and was already a star.
"Even for 'Lawrence of Arabia' I didn't ask to be an international actor," he said. "When going to America and becoming famous, it gave me glory but it gave me loneliness also and a lot of missing my own land and my own people and my own family."