Abstract: According to the invention, vacuum pumping systems are integrated in the intermediate space between a supporting slab and a clean room false floor formed from a juxtaposition of false floor tiles held by posts resting on the supporting slab. A platform, whose size is greater than the floor space requirement of the vacuum pumping system to be integrated, and substantially equal to that of a false floor tile, is held away from the supporting slab by feet resting on the supporting slab. Thus part of the space underneath the vacuum pumping systems is freed, for the free passage of cables and ducts. Simultaneously the vacuum pumping system is isolated with respect to the false floor, in order to avoid the transmission of vibrations.