The propagation properties of anomalous vortex(AV) beams in the chiral medium are numerically studied based on Collins diffraction integral formula. The results show that the AV beam can split into a left-handed circular polarization (LCP) light and a right-handed circular polarization (RCP) light when it is incident upon a slab of a chiral medium. The change of the topological number directly affects the interference phenomenon caused by LCP light and RCP light at the beam center. The energy and the focusing effect of the AV beam increase with the increase of beam width.