To deal with multiple attributes group decision making problems with linguistic assessment information, a two- tuple linguistic multiple attributes group decision making method based on VIKOR method is proposed. This method aggregates single users’ decision information to get group’s decision information, and obtain the best compromise solution by maximizing group utility for the majority and minimizing individual regret for the opponent. This method is easy to implement and interpret, and can avoid the loss and distortion of assessment information effectively. Moreover, the proposed method can overcome the shortcomings of the ideal solution method, which cannot reflect the relative importance of distances from the alternative to the positive ideal solution and negative ideal solution. Finally, the result of the numerical example shows the effectiveness of the proposed method.