Based on modulation characteristics of spiral phase plate (SPP) and the paraxial beam transmission theory, the complex amplitude function of elliptical Gaussian beams through SPP is investigated, and intensity and phase distributions of the elliptical singularity beams with different topological charges during propagation are studied. It is shown that the spot shape is changed comparing with the initial spot shape in the process of transmission with increasing of propagation distance after SPP. On the one hand, A certain amount deflection of high-order elliptical singularity beam appears, and the deflection direction is associated with the symbol of the topological charge. On the other hand, the high-order elliptical singularity beam splits in the dark nuclear area during propagation, and the number of singularities is equal to the topological charge of the original beam, which is different from the fist-order elliptical singularity beams.