This paper studies the superposition characteristics of singularity beams, theoretically analyzes the phase distribution and polarization distribution after superposition of singularity beams, and experimentally verifies the correctness of the theoretical derivation. The polarization state of superimposed same-order non-coherent vortex beams is analyzed, and it is found that the superimposed beam maintains the original orbital angular momentum and the polarization state of the beam changes periodically with the azimuth. The change period is determined by the vortex topological charges. The variation of the polarization state of the light field after superposition of the cylindrical vector beams with different polarization topological charges is analyzed. The superposition characteristics of the cylindrical vector vortex beams with both phase singularities and polarization singularities are investigated, and it is found that the polarization state of the superposed beam varies periodically with the azimuth, where the change period is determined by the vortex topological charges. The polarization state of each point of the light field is determined by the vortex topological charge, polarization topological charge, and initial phase angle.