Celtic and Rangers have been fined £7,500 each for the derby rammy at Parkhead in March.
Both clubs faced charges over their players' conduct as tempers flared following a Hoops' 2-1 victory that effectively killed off the Premiership title race.
Scott Brown clashed with Andy Halliday, who reacted to the Celtic skipper celebrating in front of the Rangers fans.
Players from both sides then became involved and the SFA have now decided to punish the Glasgow rivals for the ugly scenes.
Brown contested an individual charge of "failing to act in the best interests of association football" and was cleared following a disciplinary hearing last week.
But Rangers winger Ryan Kent copped a two-game suspension for striking Brown in the dying minutes of the bad-tempered encounter, while Alfredo Morelos was sent-off in the first-half, and has served a four-game ban for lashing out at the 33-year-old.
Rangers appealed the verdict against Kent but their case was thrown out, and the club accepted a one-game ban for boss Steven Gerrard after he made comments to ref Bobby Madden after the full-time whistle.
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Madden gave a rare interview on Wednesday as he explained the process that led to Morelos being shown his fifth red card of the season.
The whistler did not see the initial incident as he was following the run of play, instead relying on linesman Alan Mulvanny.
Madden told Superscoreboard : "TV footage shows I had absolutely no view of the incident. Alan was in line with the second last defenders, that’s his responsibility.
“So I am following the ball up the field of play and I hear a roar, so, naturally, you look round and you see a player on the ground.
“Immediately the communication from Alan was ‘red card, red card, red card’ and that’s why it was dealt with quite as quickly.
“I think in that environment and under that pressure for Alan to pick up the incident then communicate that so clearly was a real positive.”
