Neither player was injured and both were in the lineup against Portland on Friday night as the Nuggets defeated the Trail Blazers 114-107 in overtime. Anthony scored 33 points and Smith had 17 points off the bench.
Anthony and Smith missed Friday's shootaround so they could take care of paperwork after the mishap.
Team spokesman Eric Sebastian said Smith was driving one of Anthony's cars but didn't have any other details.
The accident came a day after Anthony, the league's leading scorer, was snubbed from the Western Conference All-Star squad.
With Houston's Yao Ming and Utah's Carlos Boozer both injured, Anthony could still be selected by commissioner David Stern. The commissioner suspended Anthony for 15 games earlier this season for his role in a brawl with the New York Knicks, and the Western Conference coaches who pick the reserves snubbed him.
"I think there's a lot of hope," Karl said. "I think Melo was one of the top five players in basketball before the suspension. Visually, it's hard to remember when you're seeing other guys play for 37 or 38 days. I think it's basically psychological -- what you're familiar with is what you probably vote on. I hope the commissioner can professionally evaluate and select who I would select, and that would be Melo."
Allen Iverson, who was selected for his eighth straight All-Star Game, missed his second straight game Friday night. He has a sprained ankle and the flu.