a method for producing fiber - reinforced plate material on the basis of a fiber web that contains at least one planar fiber structure and is impregnated with a thermoplastic plastic matrix . the one or more fiber structures are impregnated or coated with a reactive starting material , containing cyclic or macrocylic oligomers of the polyester , and in that the fiber web which contains one or more combined , impregnated or coated fiber structures is coated on one or both sides with a surface layer that contains a polymerized polyester . the fiber web that is coated with said surface layer is pressed in a pressing device to give a plate material , thereby polymerizing the reactive starting material into a plastic matrix that surrounds the fiber structure and that is permanently joined to the surface layer .