The incident took place on August 22 when the girl was returning home from the Gurdwara, police said today.
Phagwara DSP Manpreet Singh Dhillon said the accused 'Baba' Roshan Singh tried to molest the girl but she ran away.
The matter was first brought to the notice of the village panchayat, he said.
When the panchayat could not resolve the matter, it was reported to police by the girl's mother, Dhillon said.
The priest has been booked under relevant sections of Prevention of Children from Sexual Offences Act (POCSO) and Section 354 (assault or criminal force to woman with intent to outrage her modesty) of IPC, he said, adding, efforts were on to nab the accused.