The drift characteristics of Airy vortex beam in atmospheric turbulence are simulated based on multiple phase screens method. The drift characteristics influenced by topological charge p, the off-axis dislocations x_d, y_d of the vortices core from the optical center and the intensity of turbulence C²_n are investigated in different distances. It is shown that the drifts increase with the increase of C²_n in the same distance. When the distances are short, the drifts are nearly equal because of the weak influence of p and x_d, y_d. When the distances are long enough, the drifts decrease with the increase of p, but increase with the increase of x_d, y_d. In addition, by comparing the drifts of single Airy vortex beam with the Airy vortex array beams, it is shown that the drifts of Airy vortex array beams are smaller.