The propagation characteristics of Gaussian beam in two-dimensional square lattices and Bessel optical lattices are investigated by alternative implicit differential method. Results show that the lattice solitons with most of energy concentrated in the center can be formed when Gaussian beam propagates in two-dimensional square lattices, and other space discrete solitons can also be formed by adjusting parameters. For Bessel lattice, when the lateral scale is smaller, that is to say, the incident Gaussian beam energy is mainly concentrated in the central channel of Bessel lattice, three-rings-like solitons can be formed with certain applied electric field and photovoltaic field. The single-ring-like and Gaussian-like solitons can be formed with the gradually increasing of crystal lattice transverse scale. The diversity of photorefractive lattice solitons has potential application value in the field of all optical soliton switching.