At the end of the game at Stamford Bridge, police in riot gear clashed with both sets of fans.
Chelsea striker Mateja Kezman had treatment on a head injury after being struck by an object thrown from a section of West Ham fans.
Both sides have been reprimanded and warned as to their future conduct.
Both clubs requested a personal hearing after being charged, and both will split the cost of the disciplinary commission hearing on October 25 this year.