The NFL on Friday announced Goldson was fined $7,875 for unnecessary roughness.
The penalty might have also cost the 49ers a victory, too.
Goldson was penalized 15 yards for hitting Bradford as he was sliding late in the fourth quarter of Sunday's game. The penalty helped the Rams get into field-goal range for Greg Zuerlein's 53-yard field goal to send the game into overtime. The Rams won 16-13 in overtime.
Goldson was fined $7,875 earlier this season for taunting Seattle running back Marshawn Lynch. Last year, Goldson was fined $25,000 and ejected from a game for fighting with Arizona wide receiver Early Doucet.
Rams defensive end Robert Quinn was not fined for a roughing-the-passer penalty on Colin Kaepernick in the fourth quarter.