An embedded quasi-honeycomb structure is innovated and the formula of out-of-plane equivalent mechanical param-eters of it with single(double)wall thickness is derived by energy method,and the correctness of the mechanics model and formula is verified by numerical simulation.The influence of embedded quasi-honeycomb core structure size on its out-of-plane mechani-cal properties was studied.The results show that when other structure sizes are constant,when the ratio of quadrilateral wall thick-ness to octagonal wall thickness a increases,the out-of-plane equivalent elastic modulus and shear modulus of the structure in-crease.When the ratio of octagonal wall thickness to octagonal wall thickness β increases,the out-of-plane equivalent elastic modulus and shear modulus of the structure decrease.When β reaches about 50,the shear modulus tends to be stable.It is found that the out-of-plane equivalent elastic modulus is significantly affected by size parameters than the shear modulus.This study provides theoretical support for the subsequent application of embedded quasi-honeycomb structures in engineering.