The match, which took place at the VTB Arena in Moscow, ended in a 1-0 win for the hosts.
The only goal in the match was scored by Tony Shunich, who distinguished himself at the end of the first half.
In the second half, the referee sent off Dynamo player Dmitry Skopintsev and Zenit player Vilmar Barrios from the field.
The Petersburg club suffered its first defeat of the season, but retained its leadership in the RPL standings. Dynamo has 10 points after five rounds and is in fifth place.
Earlier it was reported that Hashimoto's ball helped Rostov to defeat Ural in the RPL match.