The nonideal semi-Gaussian beam generated in our work has a certain ascent border width. Due to its asymmetry, the propagation properties of a nonideal semi-Gaussian laser beam in nonlinear materials have some unique characters. In our work, the propagation properties of a nonideal semi-Gaussian laser beam with a small ascent border width through a ZnSe nonlinear crystal is theoretically studied, and the relations of the propagation properties and the various parameters of the nonlinear medium and the semi-Gaussian beams are also analyzed theoretically in detail.