Abstract: Based on the multifunctional demand for the effective heat transfer performance at specified pumping power and structural stiffness , a multi-functional optimization design was studied for sandwich panels filled with orthotropic honeycomb cores , such as rectangular cell . Orthot ropic cellular correlation coefficients were derived. Due to the shortage of the traditional product-type multifunctional index , two level programming models which served as the basis of the engineering optimization index for the heat dissipation-mechanical load performance were constructed in order to obtain a Pareto set of multi-object optimization design. In contrast with optimization of the single specific index , the presented method is efficient and offers a wide design choice for engineers , especially for the orthotropic cellular materials due to multi sensitive parameters. Finally , the optimum honeycomb morphology parameters were obtained and discussed under different scale effects.