In the present paper, by the variational method coupled with mountain pass type theorems, we study nontrivial homoclinic solutions of nonlinear (p, q)-Laplacian partial difference equations with a parameter λ > 0:We prove that the above equation admits two nontrivial homoclinic solutions if λ is sufficiently large and one nontrivial homoclinic solutions if λ > 0. Our obtained results generalize and improve some existing ones.