The M2-factor of partially coherent twisted vortex beam(PCTVB)in anisotropic atmospheric turbulence have been studied and numerically simulated. Results indicate that the influence of turbulence on beam propagation quality can be reduced effectively by controlling the twisted factor and vortex factor of PCTVB. The larger the twisted factor and topological charge are, the more effectively the PCTVB can suppress the influence of turbulence on beam propagation quality. Moreover, the anti-turbulence ability of PCTVB can be enhanced when twisted factor and topological charge are same sign. The M2-factor of traditional Gaussian-Schell model beam (GSMB) and PCTVB were compared, and results show that the anti-turbulence ability of PCTVB is obviously stronger than that of traditional GSMB. In addition, it is found that the influence of turbulence on beam propagation quality can be weaken by the anisotropic factor, and the influence decreases with the increase of anisotropic factor.