A multilayer armor plating material contains a single-piece or multi-piece ceramic or metallic layer which, as seen in the direction of attack, is followed by a rear supporting layer of glass fiber-reinforced plastic (GRP) and/or of carbon fiber-reinforced plastic (CRP). As seen in the direction of attack the ceramic or metallic layer is preceded by a front supporting layer of glass fiber-reinforced plastic (GRP) and/or carbon fiber-reinforced plastic (CRP). As a result, the steel or ceramic layer is optimally embedded in a composite between the front and rear supporting layers and thereby supported. This in particular protects the ceramic or steel material from harmful vibrations caused by repeated impact of projectiles, on account of the higher rigidity of the structure reducing the vibration amplitudes.