Four novel chiral honeycomb structures inspired by the biological arrangement shape are designed. The functional principle is raised to solve the large deformation of bio-inspired structures and the structural constitutive model is proposed to explain the quasi-static mechanical properties of chiral honeycomb array structures and honeycomb structures. Simulation and experiment results verify the accuracy of theoretical analysis results and the errors are all within 15%. In structural mechanical properties, Equidimensional Chiral Honeycomb Array Structure (ECHS) has excellent mechanical properties. Among ECHS, Small-sized Column Chiral Honeycomb Array Structure (SCHCS) has the best properties. The bearing capacity, specific energy absorption, and specific strength of SCHCS are more than twice as much as the others in this paper. The chiral honeycomb array structure has the best mechanical properties at a certain size. In the structural design, the optimal size model should be obtained first in combination with the optimization algorithm for the protection design.