One special group of laminated composites used extensively in engineering applications are sandwich composites. The paper deals with the solution of 3-layered rectangular sandwich plate with laminated composite faces. There are described analytical and numerical approach of the modelling of sandwich plate with laminated composite faces. The assumptions involved in modelling the behaviour of the outer layers and the core result into a set of five differential equations. For application of the finite element method there were derived appropriate stiffness, stress and load matrices. The correctness of their implementation into the computer program is compared with program COSMOS/M.