Both the parties have filed complaints at the Vasant Kunj Marg police station, a senior police officer said.
A group of students blocked entrances of various schools after the JNU administration issued a circular making it mandatory to have a minimum attendance of 75 per cent to avail and continue fellowships and scholarships.
The protesters alleged a woman student was "violently" manhandled by a professor of Centre for Studies in Science Policy after she tried to talk to him when he "forced his way" to School of Social Sciences.