Four stewards needed hospital treatment after being attacked by fans in the Municipal Stadium in Poland.
And claims of racist abuse directed at Czech defender Theodor Gebre Selassie, who is black, are being investigated.
The Control and Disciplinary Body will review the case on Wednesday, 13 June.
A Uefa statement read: "Having looked at the security reports and available images, Uefa has today announced that disciplinary proceedings have been opened against the Football Union of Russia [RFS] for the improper conduct of its supporters, the setting off and throwing of fireworks, and the display of illicit banners at Friday's Uefa match."
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“There was a brief and isolated incident involving a small group of around 30 fans who attacked a handful of stewards...The local police are aware of the incident and investigating”
Anti-racism campaigners claimed Czech defender Theodor Gebre Selassie was the victim of monkey chants during Russia's 4-1 victory, while footage seemingly shows Russian supporters attacking stewards in a walkway of the stadium.