The actress known simply as Sridevi passed away in Dubai, where she was attending a family wedding.
From the age of four, she had worked in films in the Tamil, Telugu, Malaylam, Kannada and Hindi languages.
She was considered one of the very few Indian female superstars capable of huge box office success without the support of a male hero.
Sridevi’s husband Boney Kapoor and daughter Khushi were with her when she died, reports say.
The Mayor of London, Sadiq Khan, paid tribute to the late star, writing on Twitter: “Really enjoyed meeting Bollywood icon Sri Devi on my recent trip to India. So sad to hear the news of the death of such a terrifically talented actress, performer and producer.”