Jiah Khan, 25, was found dead on Monday. Police deputy commissioner Chhering Dorje said Khan had committed suicide.
According to Police report Jiah Khan, was found hanging at her Mumbai home by her mother.
"Nafisa Khan, who is known as Jiah Khan, was found hanging by her mother. A post-mortem will be conducted," he said.
According to media reports, Jiah was raised in England.
In 2007, Jiah made her acting debut alongside leading man Amitabh Bachchan in the film, Nishabd.
She also appeared with Aamir Khan in Ghajini. Her last film was Housefull in 2010.
Bollywood stars reacted with shock at her death. "WHAT ...!!! Jiah Khan ??? what has happened ? is this correct ? unbelievable !!!," tweeted Bachchan.
"R.I.P. Jiah khan ... Saddest news .. May god find her a happier place ... Bless her ..my prayers ..love !," tweeted actress Chintrangada Singh.