Neither will be suspended, the league said.
Light punched Crowder several times after the Miami player shoved him on a New England field goal late in Sunday's 48-28 win over the Dolphins. They also argued before being pushed apart.
"That matter is kind of a closed deal now," Light said after the decision was announced. "Obviously, I'm not happy with what my actions were and I don't think that was the way to go. But, in my mind, it's a closed deal now.
"They've made a decision on it and we're going to move forward and get ready to play a good Steelers team. I think that's where everybody's concentration should be right now and I think that's definitely where mine is at this point."
Light will be at his usual left tackle spot Sunday against Pittsburgh, which leads the AFC with 37 sacks.
Gene Washington, the NFL's director of football operations, assessed the fines after reviewing the tussle between the players.
It occurred after Light blocked Crowder, whose helmet fell off, on Stephen Gostkowski's 30-yard field goal midway through the fourth quarter.
Light and Crowder pushed each other in the face before Light grabbed Crowder's dreadlocks in his left hand and hit him three times on the head with his right. Crowder broke free and ran away with a huge grin. Both received personal foul penalties and were ejected.
Copyright 2008 by The Associated Press