Players and officials from both clubs clashed in front of and inside the tunnel after the final whistle of the dramatic 2-2 draw at Stamford Bridge on May 2 and substantial sanctions have now been delivered.
Chelsea have copped a £375,000 fine while Spurs will pay £225,000 after the London pair admitted three breaches of failing to control their players and/or officials.
The after-match fracas was sparked by spot-fires throughout the game, which involved Spurs midfielder Mousa Dembele eye-gouging Diego Costa early in the second half, while some players were caught up in a brawl after Eden Hazard's equaliser in the 83rd minute.
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