AISF members had gathered in front of Arts College on the campus for burning an effigy of the Central government to protest Kumar's arrest, demand his immediate release and dropping of sedition charge against him.
But a group of ABVP members objected to it, which led to a row. The members of two organisations almost came to blows before the police stepped in.
Ten members of ABVP and four of AISF were taken into preventive custody, he said.
Kumar, a member of CPI's student wing AISF, was arrested in connection with an event against the hanging of Parliament attack convict Afzal Guru. There were allegations that anti-India slogans were raised during the event.