Several ceramic armour systems are provided herein. One such system is a ceramic armour system for personnel. Such system includes an integral ceramic plate, or a plurality of interconnected ceramic components providing an integral plate. The ceramic has a deflecting front surface or a flat front surface, and a rear surface. A front spall layer is bonded to the front surface of the ceramic plate. A shock-absorbing layer is bonded to the rear surface of ceramic plate. A backing is bonded to the exposed face of the shock-absorbing layer. A second such system is a ceramic armour system for vehicles. Such system also includes an integral ceramic plate, or a plurality of interconnected ceramic components providing an integral plate. The ceramic plate has a deflecting front surface or a flat front surface, and a rear surface. A front spall layer is bonded to the front surface of the ceramic plate. A shock-absorbing layer is bonded to the rear surface of the ceramic plate. The assembly of the front spall layer, the ceramic plate, and the shock-absorbing layer is bolted to the hull of a vehicle, preferably with an air gap, or alternatively without an air gap.