The meeting took place at the Megasport stadium in Moscow and ended with a score of 5: 3.
As part of CSKA, the hat-trick was scored by Sergey Plotnikov.
Lucas Wallmark and Sergei Andronov scored one more goal each.
Ilya Talaluev scored a double for Spartak.
Alexander Khokhlachev also scored an abandoned puck in the red and white.
In the next game, which will take place on September 19, CSKA will play against Avtomobilist Yekaterinburg.
Spartak will host Dynamo Riga on the same day.
Earlier it was reported that Galiev's double brought Dynamo victory over Siberia in the KHL match.