The meeting in Moscow at the Otkritie Arena stadium ended with a score of 2:1 in favor of the guests.
Dejan Lovren and Andrey Mostovoy scored goals in the 48th and 60th minutes.
The only goal for Spartak was scored by Alexander Sobolev (21st minute).
Thus, Zenit continues to lead the standings with 20 points.
Spartak is fifth (16).
Previously, Claudinho first appeared on the field after injury.