The case was filed with Dhaka Kotwali Police Station on Monday night, said OC Md Mizanur Rahman.
Nazmul Hasan Sohag is the main suspect in the case, said Mizanur.
The case was filed by the same woman who initiated the first case, Biplob Bijoy Talukdar, deputy commissioner of DMP Lalbagh division, told bdnews24.com.
The allegations include abduction, rape and later labelling the victim as a prostitute on social media, he said citing the details of the case.
On Sunday, a case was started by a postgraduate student of Islamic Studies at Dhaka University with Lalbagh police station against six leaders, including Nur, of the quota reform movement.
Nur was accused of abetting the rape of the alleged victim.
Those who were accused in the Lalbagh case have been named again in the new case, said Talukdar.