Green grabbed Ramsey around the neck from behind and took him to the turf while throwing punches at him late in the first half of the Jaguars' 23-7 victory. Both Green and Ramsey were ejected from the game, but Ramsey was not fined by the league.
Green was docked $30,387 for fighting and $12,154 for unsportsmanlike conduct. He told reporters that he would not appeal the fines.
Several players from both sides came onto the field from the sidelines during the skirmish, but not were fined.
Tampa Bay quarterback Jameis Winston was fined $12,154 for unsportsmanlike conduct after he poked at New Orleans cornerback Marshon Lattimore, setting off a fight that led to Buccaneers wide receiver Mike Evans being ejected and suspended for one game.
San Francisco's Carlos Hyde and Arizona's Frostee Rucker and Haason Reddick were each fined $9,115 for fighting in their game last weekend. Arizona's Antoine Bethea, who started the melee with a late hit on 49ers quarterback C.J. Beathard, was docked the same amount for unnecessary roughness.
Washington cornerback Josh Norman has to pay $36,464 for his horse-collar tackle on Seattle tight end Jimmy Graham.
Seattle's Tedric Thompson and Dallas' Xavier Woods each got dinged $24,309 for blindside blocks in their games.
The Seahawks' Jarran Reid was fined $18,231 for a roughing the passer call on the Redskins' Kirk Cousins, while Buffalo's Shaq Lawson got the same thing for a hit on the New York Jets' Josh McCown.
Also docked $18,231 for infractions were Indianapolis' Jeremiah George (horse collar) and Oakland's Karl Joseph (unnecessary roughness).
Dallas' Byron Jones has to pay $12,154 for unsportsmanlike conduct, while the Los Angeles Rams' Roger Saffold (chop block), Tennessee's Brice McCain (facemask), Oakland's Mario Edwards (unnecessary roughness) and Green Bay's Mike Daniels (unnecessary roughness) were all fined $9,115.
More AP NFL: http://pro32.ap.org and https://twitter.com/AP_NFL
Copyright 2017 The Associated Press. All rights reserved. This material may not be published, broadcast, rewritten or redistributed.