The present invention relates to a multiple layer composite material and to a method for producing the same. Said multiple layer composite material has at least one layer of cement-bound concrete and at least one layer of polymer-bound concrete. The transition between adjacent layers of cement-bound concrete and polymer-bound concrete has at least the material strength of the less stable one of the concrete layers adjoining the transition. The layer of polymer-bound concrete allows the diffusion of water vapor, but does not allow liquid water to penetrate. The multiple layer composite material can be produced completely in an aqueous system.