Chelsea were fined 375,000 pounds and Spurs 225,000 pounds following incidents during and after the game at Stamford Bridge.
Nine Spurs players were booked, a Premier League record, along with three from Chelsea, who fought back from 2-0 down to draw 2-2.
The result ended Tottenham's hopes of winning the title and handed the trophy to Leicester City.
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Both clubs were warned as to their future conduct.
(Reporting by Ed Osmond, editing by Pritha Sarkar)
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