Russian has been handed a suspended disqualification from the tournament over violence inside the stadium during the England match.
The football team were also fined 150,000 euros over violence at Euro 2016.
The disqualification will not apply until the end of the tournament - but will act as a final warning.
It comes after violent clashes broke out between Russian and English fans inside the Stade Velodrome in Marseille on June 11.
The charges were imposed by the independent Uefa Control, Ethics and Disciplinary Body (CEDB).
In a statement, Uefa said they were brought against the Russian Football Union (RFU) due to crowd disturbances, the use of fireworks and racist behaviour.
It added Russia would be banned from the tournament if any similar incidents happen inside any stadium at any remaining Russian team matches.