The request came as France entered a three-day period of national mourning.
The decision by Studiocanal appears to have been taken Saturday morning as media reports started to filter through that the Nice attack had been the work of someone inspired by the radical group Islamic State, reported Variety.
The company had initially just removed advertisements for "Bastille Day" in France but left the decision whether to continue showing the film - which turns on a terrorist plot to bomb Paris - up to cinema chains.
But Jocelyn Bouyssy, the director of CGR, which released "Bastille Day" in 35 cities on Wednesday, said that the multiplex chain would comply with Studiocanal's request "out of respect.
