The reality Tv star's partner was caught on tape rifling through the back seat of the snapper's car, taking out his camera and other equipment before throwing it on the ground.
Footage of the incident also appears to show the former Los Angeles Clippers player grabbing what looks like a metal tripod and threatening to hit another photographer's car. Odom then appears to pick up the strewn photographic equipment from the street and put it in the trunk of his own vehicle.
Witnesses claim Odom, who stands 6 foot 10 inches (1.8 metres)-tall, snapped after a run-in with the paparazzi.
No police reports had been filed over the incident at the time Wenn went to press, but Kardashian has come out in defence of her husband, branding the photographers "losers" in a rant on her Twitter.com page.
She also praised Odom for keeping his cool when fans approached him after the incident and asked to have their picture taken with him, writing, "Shout out to my hubby (sic) for posing with the fans! I love my Lam!... I just love my hubby."