This paper describes the mechanical properties of the three-dimensional(3D) double-V honeycomb intersected by a two-dimensional double-V structure with negative Poisson's ratio. Considering the effect of the adjacent unit cells, the Poisson's ratio and Young's modulus of the honeycomb under axial loading are derived theoretically. The finite element (FE)model of the 3D double-V honeycomb (DVH) is conducted to verify the theoretical solutions. It is found that the constraint of the adjacent cells does not affect the negative Poisson's ratio but enhance Young's modulus a lot, and the two properties are determined by the stuffer/tensor angles. Then, the prototypes of the 3D DVH is manufactured to carry out the quasi-static experiments. The stiffness and the collapse stress of the theoretical, numerical and experimental solutions are compared, and it is evident that these results agree very well which indicates the analyses of these solutions are convinced. And the quasi-static collapse stress increases with the increment of tensor angle θ1and the reduction of stuffer angle θ2. Display omitted •The new theoretical model considering boundary effect can accurately predict the mechanical properties of double-V honeycomb.•When stuffer angle is fixed, there exists a minimum value of Young’s modulus when the tensor angle is around 35°.•The static collapse stress rises with an increment of stuffer and tensor angles.