A new multi-period and multi-criteria decision making model of grey target is proposed for the uncertainty and
multi-stage of decision making. Based on TOPSIS and the algorithm of interval number, the measuring function of target- center distances for the cases is presented, which take the weights of criteria into account. According to grey entropy and the time temperature, a calculating model for the weights of the time sequence is constructed. Based on the weights of criteria and time sequence, the objective function of clustering algorithm is proposed, which aggregates target-center distances of all evaluated period. The evaluated value of every scenario is obtained, which improves the theory of the grey target decision- making further. Finally, an example shows the effectiveness and practicability of the model.