The meeting took place in Moscow at the VEB Arena stadium and ended with a score of 2: 0 in favor of the blue-white-blue.
In the 34th minute, Claudinho scored after Malcolm's pass, and stoppage time was scored by Andrey Mostovoy after a pass from Artem Dziuba.
On the 61st minute, referee Sergei Karasev did not award a penalty kick to Zenit's goal after the ball hit the guest's defender Dmitry Chistyakov's hand.
The ball bounced into his hand after rebounding off the leg of his teammate Dejan Lovren.
However, the judge and VAR assistants did not see this as a violation.
Sergei Semak's wards scored 36 points and strengthened their leadership in the standings of the Russian football championship.
CSKA are in sixth position with 24 points.
Earlier it was reported that CSKA and Zenit fans opposed the introduction of Fan ID in Russia.