A variable separation approach is applied to obtain the new exact explicit solution of (2+1)dimensional nonlinear Burgers equations. Using a B-cklund transformation and the variable separation technique, we find the variable separation solution of the (2+1)dimensional Burgers equations by the entrance of there arbitrary functions (one condition function) for the seed solution. Some special type of the kink soliton solution, periodic soliton solutions and lattice soliton solutions are discussed by selecting the arbitrary functions appropriately.