Chelsea have been fined £100,000 and Manchester City £35,000 following their bench-clearing fracas during their game on Dec. 3.
The melee started after City striker Sergio Aguero's reckless tackle on Chelsea defender David Luiz, while Fernandinho was also sent off for shoving Cesc Fabregas over the advertising hoardings.
An FA statement said: "Following an Independent Regulatory Commission hearing, Manchester City and Chelsea have been fined £35,000 and respectively after both admitted a breach of FA Rule E20(a).
"The two clubs were charged for failing to ensure their players conducted themselves in an orderly fashion and/or refrained from provocative behaviour.