The Mumbai Police Cyber Cell on Friday registered a complaint against comedian Tanmay Bhat promoted All India Bakchod (AIB) for posting an offensive meme about Prime Minister Narendra Modi, an official said here.

"We have registered the FIR at the Cyber Police Station in this regard after due legal consultations. Further details will be communicated later," said Mumbai Police spokesperson DCP Rashmi Karandikar.

The AIB's meme was seen on Wednesday in which a person resembling Modi is shown with the ears and nose of a dog, and a similar person is busy on a mobile in another picture.

Following an uproar on the social media and Bharatiya Janata Party (BJP) circles, the AIB deleted the meme, only to invite the wrath of Congress activists.

On Thursday, some Twitteratti vented anger and tagged the Mumbai Police demanding strictest action against the AIB for the 'obnoxious posts' on the Prime Minister.

Undeterred by critics, Bhat vowed he would continue to make jokes repeatedly.

"Will continue making jokes. And deleting if necessary. And making jokes again. And apologizing if necessary. Don't care what you think," he tweeted.

Defending the meme on the AIB website and on Twitter, Bhat termed it lack of rational reasoning.

When contacted by IANS for his comments on the FIR, Bhat did not respond to calls or messages.