The 20,000 euro sanction on the Spanish has been imposed after fans sang racist chants and engaged in other racist behaviour during the Group C match against Italy in Gdansk on June 10.
Italy's black striker Mario Balotelli started in the 1-1 draw.
Balotelli was also subjected to racist abuse by Croatia fans during a match on June 14 and the Croatian FA was fined 80,000 euros by European soccer's governing body.
The size of that fine was criticised by the Football Against Racism in Europe (FARE) network, who told Reuters there was public concern that Denmark's Nicklas Bendtner was fined 20,000 euros more for exposing an illegal advert on his underpants.
Holders Spain have reached Sunday's final being staged in Kiev while Russia went out in the group stage.
