The French champions have been punished for their fans' and trainer's behaviour in last week's European encounter in Gelsenkirchen, which ended with both teams gaining a point
The Ligue 1 side's fans made a nuisance of themselves in Gelsenkirchen as they set off fireworks and threw missiles on the pitch, while five la Paillade players were booked during the game. Girard, meanwhile, was involved in an altercation with Schalke coach Huub Stevens.
"Montpellier have been fined €17,000 (£13,000) for the throwing of missiles and fireworks by their fans, and for the improper conduct of the team (five cards or more)," a statement on the Uefa website reads.
"The French club's coach Rene Girard has been given a €5,000 (£4,000) fine for improper conduct and suspended from carrying out his function for the next two Uefa competition matches. The ban for the second match is suspended for a probationary period of three years."
An appeal may be lodged against the decision within three days of receipt of the written grounds for the decision.