Some members of the Shiv Sena said they were against "a Muslim actor going on stage in a Ramlila", a theatre festival based on the Hindu religious epic Ramayana and performed across India.
The actor had said performing in the Ramlila was "his childhood dream".
The Shiv Sena often resorts to violence and threats to push its agenda.
The dramatic folk re-enactment of Hindu god Ram's victory over the 10-headed demon king Ravana celebrates the triumph of good over evil.
