Givens told the newspaper's Web site that he was outside greeting people when Edwards approached him.
"Braylon comes up and started saying things, degrading me," Givens said. "He said if it wasn't for LeBron [James] or the Four Horsemen [James' friends and business partners], I wouldn't have what I have, nor would I be able to get girls. Everyone knows Braylon has a problem with LeBron.
"I had to speak up for myself. The conversation started to escalate.
As some of his teammates started to pull him back, he punched me. As long as I've known Braylon, I've allowed him and his friends to come into our events free of charge.
Whatever jealousy he has with LeBron, he felt he needed to take it out on me."
The immensely talented Edwards, who is in the final year of his contract with Cleveland,
has been a headache for much of his time with the Browns. While recovering from a foot injury -- he cut his heel running in his socks after practice --
last year, he was pulled over in his Bentley for driving 120 mph in a 65 mph zone.
He has dropped passes, criticized Cleveland's play-calling, argued with teammates and famously took a helicopter to the Ohio State-Michigan game in 2006 despite being told not to go.
Edwards was also out partying in March with teammate Donte' Stallworth, who later that night struck and killed a a 59-year-old pedestrian while driving drunk in Miami. Stallworth has been suspended for the season.