Gopal Tandel, president of BJP unit in the Union Territories of Daman and Diu, resigned from his post on Sunday after a video clip purportedly showing him with a woman went viral on social media.
Tandel submitted his resignation to BJP president Amit Shah, said local BJP general secretary Vasubhai Patel.
In the short clip, a person resembling 65-year-old Tandel can be seen in a compromising position with a woman.
Tandel, a former Lok Sabha MP, had on Saturday claimed the clip was fake and had also approached police with a complaint.
Tandel was earlier with the Congress as well as NCP before he joined the BJP around four years ago.