Based on the basic theoretical model of spatial optical solitons in no-local nonlinear medium, using the subsection Fourier algorithm, the transmission characteristics and stability of the spatial optical solitons in two-dimensional no-local nonlinear media were studied. The results reveal that in the medium, Laguerre-Gauss soliton (LGs) can exist. The transmission properties of soliton can be controlled by the modulation depth coefficient, as well as the initial conditions of beam condition in the no-local media. Furthermore. It’s found that the bigger of the transmission distance, the greater the effect is. The results can improve and enrich the spatial soliton theory system.