The fine is for Edwards' arrest for driving under the influence in September 2010 while he was with the New York Jets. Edwards pleaded guilty in July, but won't face a league suspension, according to the team.
Edwards later tweeted about it.
"I guess the good news is out 49er faithfuls, no suspension. I did get fined but I am in agreement and happy to move on," Edwards said via his Twitter account.
In January 2010, Edwards pleaded no contest in Cleveland to aggravated disorderly conduct after being accused of punching a friend of NBA star LeBron James.
While on his 18-month probation from the Cleveland case, Edwards was charged with driving while intoxicated in his Land Rover in Manhattan in September 2010. Police said his blood-alcohol level was twice the legal limit.
Edwards joined the 49ers on a one-year contract this offseason and is expected to give Alex Smith a downfield threat in the passing game.
Information from The Associated Press was used in this report.