The girl, an undergraduate student, belonged to Adampur but lived with her relatives in Dashmesh Nagar Mohalla, City SHO Param Sunil Singh Randhawa said.
In a complaint, she alleged that accused Jiwan Ram(27), her neighbour, used to visit her relatives' house.
On March 16, he came to her when she was alone in the house and served her a drink allegedly laced with drugs.
Police said that she alleged that Ram again came on the night of March 17 and warned her to keep silent over the issue.
Randhawa said that the victim was admitted to civil hospital last night and her medical examination was conducted.
Yesterday, a case under section 376 of the IPC was registered against Ram, the SHO said, adding, he will soon be arrested after the completion of the ongoing investigations.