TMZ Sports has obtained LAPD body camera footage of Jaxson Hayes' arrest ... and the NBA hooper appears to shove a police officer, sending him careening into a wall.

The video starts with cops approaching 6'11, 220-pound Hayes outside his GF's L.A. house -- after a woman called 911, claiming she received "disturbing" texts from her cousin who claimed Hayes was "getting loud and violent," adding she was "scared and couldn't call the police herself."

Once on the scene, cops told 21-year-old Hayes they had to enter the home to make sure everyone was safe ... but Hayes objected.

Hayes eventually attempted to retreat inside ... but officers blocked his path. Police attempted to cuff Hayes ... and that's when the situation turned violent.