The young man entered the house of the girl and raped her before setting her on fire with kerosene oil at Temtha Karari village, Superintendent of Police Minu Kumari said.
After committing the crime, he left the girl's room by locking the door from outside.
On hearing her cries, her relatives and neighbours broke open the door of her room and took her to Sadar hospital where she died, the official said.
The accused and his relatives were absconding.
Both the victim and her boy friend lived in the same village and were students of the same college, she added.