Abstract: A hierarchical honeycomb material with soft adhesion layer being added to its walls was studied based on hexagonal honeycomb, Kagome honeycomb and triangular honeycomb. Using analytical calculation and numerical simulation method, the bulk modulus and shear modulus of hierarchical structure honeycomb with missing walls were given out. It presents that hierarchical structure honeycomb shows a low level of imperfection sensitivities compared with classic honeycomb. When the adhesion layer has the same specific modulus and twice the thickness of the core layer's but an order of magnitude lower modulus than the core layer's, the hexagonal honeycomb and Kagome honeycomb's imperfection sensitivities are significantly reduced.