A design method of centrosymmetric lattice structure is proposed. The centrosymmetric lattice is applied to the lightweight design of concentric cylindrical structures. Combining homogenization method and finite element method, the advantage of centrosymmetric lattice concentric cylinder in reducing the maximum stress is verified, and the stress distribution of centrosymmetric lattice concentric cylinder is more uniform along the circumference; two kinds of centrosymmetric lattice solids are selected, and the parametric method is used to study the influence of three parameters on the static response of a centrosymmetric lattice concentric cylinder under axisymmetric surface pressure.The results show that the maximum stress of the central symmetric concentric cylinder is less than that of the parallel array lattice cylinder under axisymmetric surface pressure;the stress distribution of the cylinder under axisymmetric load is periodic along the circumference, and the stress distribution of the concentric cylinder is more uniform than that of the parallel array lattice while the centrosymmetric lattice is applied to the lightweight design of concentric cylinder; the maximum stress increases with the increase of inside thickness and decreases with the increase of outside thickness; the increase of lattice section size will reduce the stress of outside and lattice of concentric cylinder, while the maximum stress of inside is less affected by the size of lattice section.