TMZ Sports has obtained the police body camera video from Kyle Snyder's prostitution sting arrest last week ... and in it, you can see multiple officers confronted the Olympic wrestling star in a hotel room -- all while he was pantsless.
Authorities say the scene played out just after 8:30 PM on May 9 at a Quality Inn and Suites in Columbus, Ohio ... after Snyder had handed over cash to an undercover police agent and requested oral sex.
The Columbus Police Dept. footage shows several cops barged into his room and placed him in custody for engaging in prostitution.