Based on the methods of vector angular spectrum and stationary phase, the analytical expressions of the TE and TM terms and energy flux distributions of anomalous hollow vortex beams in the far field are derived and used to analyze the phase singularities and energy flux distributions. It is shown that under certain conditions elliptical (or circular) edge dislocation, straight edge dislocation or optical vortices will appear in the light field. By changing the vortex off-axis distance or waist width, the phase singularities will vary. The position of black nucleus, symmetry and elliptical dark ring of the energy flux distributions are dependent on the vortex off-axis distance.