The battle for Christine Quinn’s City Council seat allegedly turned physical in a Chelsea stairwell — with a candidate going toe to toe with one of his biggest critics for plastering a wall with negative fliers about the campaign.

Thomas Johnson, 59, filed a police report saying candidate Corey Johnson shoved him Friday in the Chelsea-Elliot Houses.

“He grabbed the material off my shoulder and took a picture of me,” the critic said, adding that he was punched — though his own lawyer denied that.

A source on Corey Johnson’s campaign said when Johnson confronted the man, he refused to identify himself and threatened the candidate.