In order to explore the influence of different punching process schemes on the forming quality of grid tube, taking the thinning rate and springback amount as the evaluation indexes, two finite element punching models of “expanding before pressing” and “pressing before expanding” were established, and 128 sets of data samples of thinning rate and springback amount under different process parameters were obtained by Latin hypercube sampling. Then, the forming quality was predicted by BOA-MLP algorithm, and the prediction model was introduced into the multi-objective optimization algorithm (NSGA-Ⅱ) to obtain the Pareto optimal frontier solution under the two punching schemes. Furthermore, the gay correlation degree of different process parameters on the forming quality were calculated by using the grey correlation analysis method. The results show that the two kinds of punching model can predict the forming quality of the grid tube accurately. Comprehensive consideration of springback amount and thinning rate, the forming performance of grid tube by“pressing before expanding” scheme is better, which is helpful to guide the punching process of the grid tube.