Abstract: In order to improve the ability to resist defects of lattice materials, soft material layers were adhered to the surfaces of cell edges of regular hexagon, Kagome and regular triangle lattice materials, and hierarchical lattice materials were prepared. Then, for the edge waviness defect type, the imperfection sensitivities of the in-plane moduli and mechanical performances of lattice materials were investigated by analytic method, and the theoretical values were verified by numerical simulations. The results indicate that by choosing appropriate adhesive soft material layer and geometric parameters can make the resist ability of hierarchical lattice materials to defect higher than that of classic lattice materials, and show relative low imperfection sensitivities. Meanwhile, on condition of the relative density remains unchanged, the mechanical performances of hierarchical lattice materials have a great enhancement compared with that of classic lattice materials. The investigation conclusions provide theoretical basis for the design and manufacture of new lattice materials which have anti-defect abilities.