In this research, the equivalent rigidities for the out-of-plane deformation of honeycombs, consisting of triangle cells, were studied theoretically based on the equivalence of strain energy. Honeycombs composed of unsymmetrical cells are anisotropic and the out-of-plane deformation of honeycombs should be expressed by considering six equivalent rigidities. The validity of the analytical results was confirmed by comparing with the results of numerical analysis of FEM. Also, in this research, two kinds of honeycombs composed of the same shape triangle cells are treated. One is such honeycomb where each triangle cell joins mutually at a vertex. And the other is such that a vertex of a triangle is on another triangular base. The former is called type A and latter is called type B. The mean density for two types of honeycombs consisting of same triangles is the same. However, one of the bending rigidities of type B is very low compared with type A, because the load conditions of the cell walls differ.