The authorities did not say how Jiah Khan died, but said they were seeking information from her neighbors.
Jiah Khan, 25, made her debut in 2007 opposite Amitabh Bachchan, and went on to act with stars including Aamir Khan and Akshay Kumar.
She was born in New York and grew up in London before moving to Mumbai for a career in Bollywood.
Her death caused shock within the film industry.
Fellow actress Dia Mirza said on Twitter: “RIP Nafisa (Jiah) Khan. You were too young and beautiful…”
Amitabh Bachchan also took to Twitter to react on his colleague’s death: “WHAT …!!! Jiah Khan? What has happened? Is this correct? Unbelievable!!!”
Jiah Khan acted in Nishabd, starring Amitabh Bachchan, and the psychological thriller, Ghajini, which had Aamir Khan in the lead role.
Her last film was in the 2010 comedy Housefull, in which she played a supporting role.
Jiah Khan’s “official” website says she was born in New York and brought up in London. It says she went to New York to study acting.
Jiah Khan also featured in an advert for the animal rights group, People for the Ethical Treatment of Animals (PETA).
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