Spartak Moscow have been fined £8,600 after fans displayed racist images in a game at Arsenal Tula.
Arsenal have also received a fine of £11,100, most of which is for safety failures, after a supporter fell from the roof of the stadium and broke both of his arms.
Spartak fans displayed neo-Nazi images at the game on 9 April.
The Moscow club's supporters will be banned from their next two away games, excluding women and children under 12.
Arsenal Tula will be forced to play their next Russian Premier League home match at a neutral venue.
The match, won 1-0 by Tula, was also marred by violence in the stands, with Spartak fans climbing on to the roof of the stadium and throwing flares and other objects at rival supporters.