The girl went missing last night after she went to attend natures' call in Piprauli village, police said.
She returned this morning and complained that she had been taken away by two persons, Rajiv and Nanhe, who raped her at gun point, police said.
After that, the girl poured kerosene and set herself ablaze, police said, adding that she was rushed to Bareilly district hospital where she died this afternoon.
IG, Bareilly Devendra Singh Chauhan said a case has been registered and hunt was on to nab the culprits who fled the from village.
Senior officials have been rushed to the village and further investigations were on, the IG said.