The Russian giants have been punished for the events during two of their group stage games, while Celtic have also been disciplined for 'illicit chanting' in Rennes clash
Zenit were fined for the actions of supporters which included the setting off of fireworks, illicit banners, insufficient organisation and a pitch invasion.
The punishments relate to Zenit’s Group G home games against Shakhtar Donetsk on November 1 and against APOEL on November 23.
Celtic have also been handed a £12,700 fine for illicit chanting at their Europa League Group I match against Rennes in Glasgow on November 3.
Article 11 (2e) of the Uefa Disciplinary Regulations states that disciplinary measures may be taken for the use of gestures, words, objects or any other means to transmit any message that is not fit for a sports event, in particular if it is of a political, offensive or provocative nature.