Abstract: In order to produce multilayer structures of composite materials by draping recut elementary layers on a shaping mold, an installation is proposed which comprises, apart from the mold, a gripping tool which can e.g. be fitted on the articulated arm of a robot. The shaping mold comprises a flexible membrane equipped with suction cups ensuring the gripping of the elementary precut layers. A vacuum circuit makes it possible to engage the membrane on a countermold placed behind the latter in order to shape the grasped elementary layer. When the tool is brought onto the mold, a pressure source acts on the membrane in order to compact the elementary later on the mold. A suction system keeps the layer on the mold following the release of the suction by the cups.