In order to study the wander characteristics of partially coherent anomalous vortex beams in anisotropic atmospheric turbulence, based on the anisotropic non-Kolmogorov atmospheric turbulence spectrum model, the analytical expression of the beam wander of partially coherent anomalous vortex beam (PCAVB) propagating in anisotropic turbulence was obtained by using the geometrical optics approximation and Rytov approximation, and the numerical simulation was carried out at the same time. The effects of beam parameters and turbulence parameters such as topological charge, coherence length, anisotropy parameters, refractive index structure constant on root-mean-square beam wander, and relative beam wander of PCAVB in turbulence were studied. The results show that the more coherent the anomalous vortex beam is, the more serious the wander of the beam in the anisotropic turbulence will be. With the increase of topological charge, the influence of turbulence on beam wander can be reduced to some extent. The influence of turbulence on the wander of partially coherent anomalous vortex beams is obviously reduced with the increase of anisotropic factor. When the generalized exponential parameter increases in the range of 3~3.3, it has the largest influence on PCAVB root-mean-square wander and relative wander, while when it increases in the range of 3.3~4, the influence on beam root-mean-square wander and relative wander gradually weakens. This study provides a theoretical reference model for the propagation of anomalous vortex beam in anisotropic atmospheric turbulence.