The ToPSIS method for individual multi—objective decision——making is generalized to group decision—making．The concept of group ideal point is introduced，with which the group utility is substituted．Badon the idea that the conclusion of group decision—making should approximate to the ideal conclusions of all decision making members，a kind of multi objective group decision—making method marching on group ideal point is proposed—and an example is presented to illustrate the application of the method ．