The ASI, posted at Rajkanika police station, had allegedly trespassed into the woman's house at Deogaon village and molested her in the absence of family members.
As per the complaint lodged in this connection, the ASI had gone to her house in connection with the investigation of a case on September 17.
She had filed the FIR yesterday.
The accused is absconding and a case under section 354 (outraging the modesty) of IPC has been registered against him, Kendrapara Superintendent of Police, Rabi Narayan Behera said.