The incident occurred in Wroclaw, Poland after a 4-1 win over the Czech
Republic on Friday as Russian fans were filmed fighting with stadium staff.
Four stewards were treated for injuries at a hospital, although none were
considered to be serious.
In addition to the fine, Russia could be deducted six points in its Euro 2016
qualifying group for a repeat offense.
Russia is also being investigated for claims that its fans racially abused
Czech Republic defender Theodor Gebre Selassie, who is black, while further
"improper conduct" charges could follow for the behavior of Russian fans
during a 1-1 draw with Poland on Tuesday.