The video shows an officer, who was accompanied by a constable, beating the youth after asking him a few questions, in Ulhasnagar area of neighbouring Thane district.
When the female friend of the boy tried to intervene, the man in uniform started abusing her.
The duo was sitting in an auto when the police officer approached them. It is not known who shot the video or when the incident took place.
As per reports, the police station concerned said it had no knowledge about the existence of such any such footage.
The action, which sparked an outrage in social media circles, had led to criticism that police was indulging in moral policing.
The Thane Joint Commissioner of Police (law and order), VV Lakshmi Narayana, has ordered a detailed inquiry against the senior police inspector of Hill Line (Ulhasnagar) police station, Mohan Waghmare.