This paper investigates the collision between two nonlinear waves with arbitrary angle in two-dimensional nonlinear lattice. By using the extended Poincaré-Lighthill-Kuo perturbation method, it obtains two Korteweg-de Vries equations for nonlinear waves in both the ε and η directions,respectively, and derives the analytical phase shifts after the collision of two nonlinear waves. Finally, the solution of u(v) up to O(ε3) order is given.