An optimization procedure is developed for the design of sandwich-stiffened panels subjected to stiffness and strength constraints. The optimization method is based on building of surrogate models employing the experimental design and response surface methodology. The compact finite element model has been recognized as a model necessary to improve accuracy of bending analysis and to decrease computation cost. Finite element solutions are obtained using different orthotropic shell element models; these orthotropic shell elements substitute sandwich panel structure. Numerical data obtained by the finite element simulation is used for a building the surrogate models. Used for sensitivity analysis, evaluation of the weight saving parameters and for design optimization of stiffened sandwich panels under bending loading. It was shown, that satisfactory accuracy can be achieved to describe the bending behavior of sandwich stiffened panels employing the developed surrogate models.