Members of the Karni Sena damaged windows of two state roadways buses and blocked a road in Kalwar area in state capital Jaipur.
"One bus was on its way to New Delhi from Sikar and the second was coming from New Delhi. Windows of the buses were damaged but there was no report of any injury," said a policeman of Neema Ka Thana Police Station in Sikar district.
SP Jalore Vikas Kumar said nearly 50 people assembled in Bagoda for protests, prompting the authorities to seal a few areas in the town.
"People have been demonstrating against the film. But the situation is peaceful now," Mr Kumar said.
In Chittorgarh, a few women were prevented from entering Chittor Fort for holding a protest, Deputy SP Gajendara Singh said.
The film, slated to be released tomorrow, has been been facing protests by Karni Sena and other fringe groups over allegations that historical facts were distorted in the movie.
All the district SPs have been asked to remain alert and forces are on stand-by to maintain law and order situation in the state, said ADG (law and order) NRK Reddy.
Putting the onus of the protests and violence on film director Bhansali, Shree Rajput Karni Sena chief Lokendra Singh Kalvi said, "We are sorry but our sorry is only for Rani Padmavati who along with 16,000 women had committed Jauhar for protecting self-respect," Kalvi said.
"Janta curfew will be imposed on film halls. I may be arrested and bullets may be fired but this cannot stop us," he said.