For the problem of fast solution of the anti-tetrachiral negative Poisson’s ratio honeycomb out-offace deformation, a fast solution method using numerical fitting is proposed. First, the out-of-plane deformation of the honeycomb was solved by finite element analysis software, and the result data were divided into training data and validation data. Then, the least squares method was used to fit the solution results. According to the characteristics and dimensional analysis of the out-of-plane deformation of the honeycomb, a three-parameter fitting equation was constructed. And the fitting curve on the symmetry axis of the honeycomb was obtained. Next, the fitting parameter results and the size parameters of the honeycomb were fitted again. The relationship between the size and the deformation curve of the honeycomb was obtained. Then, the deformation of the honeycomb under other sizes predicted by using this relationship was compared with the validation data. In addition, the out-of-plane deformation of the two-stage non-uniform honeycomb was also studied. The fitting function was constructed by using the fitting results of the previous uniform honeycomb and the Logistic function. And the fitting results were compared with validation data. The results show that the prediction results of the fitting equation are in good agreement with the simulation results. This numerical method can be applied to the deformation prediction and design of anti-chiral honeycomb.