Abstract: Based on functional element topology optimization design method, taking the bearing capacity of the metamaterials structure as the objective, that is, the structural stiffness of the functional element is maximized as the objective function, with the specified Poisson’s ratio as constraints, then the optimization model is established and solved. The optimized structure of the functional primitives is deduced to construct the finite element model for checking the Poisson’s ratio of functional element. The functional element are distributed in a periodic order to form a metamaterials structure, and the in-plane and out-plane structural bearing properties of the metamaterials are calculated and analyzed. Analysis shows that the optimal metamaterial structure has better structural bearing capacity than the traditional honeycomb structure, and the proposed functional element topology optimization method provides a feasible method for the design of new metamaterial structures.