If convicted, the 25-year-old faces a sentence ranging from probation to six months in jail.
Varlamov's agent has said he is innocent. His attorney has declined to comment.
Police released few details about the case last month and declined to elaborate, other than to say it involved someone with whom Varlamov was in an intimate relationship.
The netminder's girlfriend told investigators Varlamov attacked her in her apartment Oct. 30. She says he knocked her down with a kick to her chest and stomped on her chest as she lay on the ground.
According to an arrest affidavit, she also accused Varlamov of dragging her by her hair and telling her that he would have beaten her more if they had been in Russia.
Varlamov has played and travelled with the NHL team since turning himself into police.
The 25-year-old netminder was acquired in a trade from Washington in 2011. He has a 11-5-0 record in 16 games this season with a 2.23 goals-against average and .931 save percentage.
Avalanche goalie guru Francois Allaire and first-year head coach Patrick Roy have been credited with restoring Varlamov's confidence a year after he allowed three goals a game.