In this paper, the propagation properties of partially coherent power-exponent-vortex beam have been studied. Firstly, the propagation model of partially coherent power-exponent-vortex beam was established. Then, the propagation properties of partially coherent power-exponent-vortex beams in free space and ABCD optical system have simulated. The results show that when power-exponent-vortex beams propagated in free space, the topological charge, power exponent and coherence length have a great influence on the distribution of light intensity, and the area of light spot gradually increases with the increase of propagation distance; when the beam propagated in the focusing system, the changes of topological charge and power exponent will affect the light intensity distribution, while the coherence length has little effect on the overall intensity distribution of the beam, only the quality of the spot. The research results of this paper reveal the propagation properties of partially coherent power-exponent-vortex beam, which will lay a theoretical foundation for its application in optical capture and other fields, and has important significance for promoting the theory and application of optical field manipulation.