Based on the basic theory of spatial optical soliton model in photonic crystal lattice, using division Fourier algorithm, the transmission characteristics and stability of optical soliton in photorefractive and two-dimensional photonic crystal lattice were studied. The results show that in Hermite optic static, the lattice order, modulation intensity and depth significantly change the spatial soliton shape and its range of stability. It is helpful in experimental investigation of spatial soliton.