The foul was called with 8 minutes 45 seconds remaining in the second quarter when Kaman shoved Denver forward Reggie Evans.
Kaman said he told referees that Evans grabbed his testicles and "pulled hard," and repeated his account in an interview Sunday with an NBA security official.
TV replays appeared to indicate Evans put his hand under Kaman's shorts as they battled for position near the basket.
"I told [the NBA] in complete detail what happened," Kaman said. "The three refs also knew what happened."
Kaman, who played despite being slowed by a viral illness, said he considered punching Evans.
"With what we're trying to do, I didn't want to get thrown out," he said. "I thought about it, but I knew what would happen.
"One of the refs said he would have knocked [him] out. It was crazy."
The Clippers were surprised by Evans' actions, to say the least.
"When I saw it on TV, it was like, 'Wow,' " 13-year veteran Sam Cassell said. "I asked the referees about it at halftime, and Jess Kersey, who has been in the league for  years, said he's never seen anything like it.
"You know what, Reggie is a good guy. I think he just lost it for a minute."
As expected, Elton Brand has won the NBA's 2005-06 sportsmanship award.
Brand will be presented with the Joe Dumars Trophy, given to the player who exemplifies the ideals of sportsmanship on the court, tonight before Game 5 at Staples Center. Brand finished with 2,326 points in the voting. Miami's Shaquille O'Neal was second with 2,080. Grant Hill of the Orlando Magic, last season's winner, is scheduled to take part in the pregame ceremony.
As of Sunday afternoon, there were 1,700 tickets left for Game 5, a Clipper spokesman said.