A new method is proposed to solve multiple attribute group decision making problems with linguistic as2 sessment information. In the method , the two-tuple linguistic representation developed in recent years is used to ag2 gregate the linguistic assessment information. According to the traditional ideas of TOPSIS , the optimal alternative (s) is determined by calculating the linguistic distance of every alternative and positive2ideal solution and negative2 ideal solution. It is based on the concept that the optimal alternative should have the shortest distance from positive2 ideal solution and the farthest from the negative2ideal solution. The method has exact characteristic in linguistic in2 formation processing. It avoided information distortion and losing which occur formerly in the linguistic information processing. Finally , a numerical example is used to illustrate the use of the proposed method.