The Associated Press reports:
Latham, who has spoken out against homosexuality, asked the officer to join him in his hotel room for oral sex. Latham was arrested and his 2005 Mercedes automobile was impounded, Becker said.
Calls to Latham at his church were not immediately returned Wednesday.
When he left jail, he told Oklahoma City television station KFOR: "I was set up. I was in the area pastoring to police."
The arrest took place in the parking lot of the Habana Inn, which is in an area where the public has complained about male prostitutes flagging down cars, Becker said. The plainclothes officers was investigating these complaints.
The lewdness charge carries a penalty of up to one year in jail and a $2,500 fine.