Because membership degree can be described by a set of several numerical values， hesitant fuzzy set is very suitable to deal with the decision problem with decision makers having hesitant attitude， and it becomes another powerful tool for multiple attribute decision making. For the attribute value is multiple attribute decisionmaking problem of hesitant fuzzy elements， an improved TOPSIS decision method is proposed， named MTOPSIS method. Finally a practical example is given to illustrate the validity and practicability of the proposed method.