The clubs had admitted breaching FA rules by "failing to ensure their players conducted themselves in an orderly fashion", an FA statement said.
A scuffle involving numerous players broke out at the Villa Park game on Nov. 2 after the home team's Belgian striker Christian Benteke received a red card.
Villa were leading 1-0 at the time, with 24 minutes left, but Spurs hit back against their 10 men to win 2-1.
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(Reporting By Steve Tongue; editing by Toby Davis)
