Shashi Kapoor, a leading Bollywood actor and producer from the 1970s and 1980s, has died after a long illness.

A family member, Randhir Kapoor, said he died on Monday at Kokilaben Dhirubhai Ambani Hospital, where he was being treated for a kidney ailment.

Kapoor, who was 79, acted in more than 100 Hindi films and was also a key theatre personality.

He appeared as well in British and American films produced by Merchant Ivory productions, run by Ismail Merchant and James Ivory.

His English-language movies included The Householder in 1963, Shakespeare Wallah in 1965, Bombay Talkie in 1970 and Heat And Dust, in which he co-starred with his wife, British actress Jennifer Kendal, in 1982.

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Bollywood actor Dilip Kumar, right, looks at veteran actor Shashi Kapoor, left, at the inauguration of a new cinema in Mumbai, India. 

Some of his popular Bollywood films were Deewar (Wall), Kabhie Kabhie (Sometimes), Namak Hala (Loyal Servant) and Kaala Pathar (Black Rock).

He co-starred with Amitabh Bachchan in each.

India's prime minister Narendra Modi said Kapoor's versatility could be seen in his films as well as in the cinema, which he promoted with great passion.

"His brilliant acting will be remembered for generations to come," he said.

Kapoor was a member of a family dynasty in the Bollywood film industry.

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He was the youngest son of Prithviraj Kapoor, a veteran of Bollywood and the theatre.

Shashi Kapoor began acting aged four in plays produced and directed by his father.

He started in films as a child actor in the late 1940s.

He made his debut as a leading actor in movies in 1961.

The Press Trust of India news agency said Kapoor will be cremated on Tuesday.

He is survived by two sons and a daughter.

His wife died in 1984.