Assistant Commissioner of Police (ACP) has been asked to inquire into the incident, which has been described as an act of moral policing, and submit a report, a police official said.
The incident, reported by some television news channels, is said to have happened at the Golconda Fort and Qutb Shahi tombs complex here, a few days ago.
There have been complaints from tourists, including foreigners about couples allegedly indulging in acts of "obscenity" at the site, the official said.