Chelsea and Arsenal were both fined following the behaviour of their players in last month's ill-tempered English Premier League football clash at Stamford Bridge.
Arsenal had Brazilian defender Gabriel and Spanish midfielder Santi Cazorla sent off as champions Chelsea won 2-0 against their London rivals.
Gabriel's red card was later rescinded while Chelsea striker Diego Costa was subsequently handed a three-match ban after his tussle with the centre-back and Laurent Koscielny, which led to the Football Association charging both clubs with failure to control their players.
Chelsea have been fined $80,000 and Arsenal $60,000.
After referee Martin Atkinson had initially shown Gabriel and Costa the yellow card, Gabriel was dismissed having appeared to kick out at the striker.
Following Gabriel's red card, Chelsea scored twice in the second half through Kurt Zouma and Eden Hazard before Cazorla was also sent off.
Gabriel subsequently had his dismissal overturned, but was still handed a one-match ban for his reaction to the decision - while Costa, who escaped immediate punishment, was suspended for three games having been found guilty on a charge of violent conduct.