The scoring was opened by Kozlov on 21st minutes for the host and three minutes before the end of the half-time Nikita Andreev was able to draw Zenit level from 8 yards out, his second goal of the season making the score at half-time 1-1.
However, the home side took all three points thanks to a 77th minute strike from Vladimir Kameshs.
After nine games, Anatoly Davydov's team are on seven points. The team's next match is on 27 August away in Kursk and will start at 5 pm St. Petersburg time.
