Auxetic structures with negative Poisson's ratio have been widely studied due to their unique mechanical properties. In this paper, a novel auxetic cylindrical double-arrowed honeycomb (DAH) is proposed. First, an analytical model to predict the elastic mechanical properties of DAH structure in the longitudinal and circumferential directions is developed utilizing the Euler-Bernoulli beam theory. Then, the finite element models are utilized to verify the analytical method. However, the results show that the analytical model cannot accurately predict the elastic mechanical properties when the radial width is large. Furthermore, the analytical model is revised to predict elastic properties considering the effect of the radial width. The effect of the geometric parameters on the elastic properties is also investigated. The quasi-static compression experiments of ABS auxetic DAH prototypes are conducted to validate the revised analytical models. It is observed that the revised analytical model can accurately predict the elastic mechanical properties of DAH structures.