Based on the decision character of the dynamic multiple-attribute system, in initializing the attribute data, a new linear changing operator in [-1,1], which is easy to compute and be applied, is proposed. By this method to find the positive and negative ideal precept of each period, a new grey incidence decision model of the dynamic multi-attribute is establishod. In this model, the developing character of each attribute in the system is fully consider, and applied to grey incidence analysis. All of the above provide a scientific and applied decision method for the dynamic multiple - attribute decision problems. Lastly, this method is demonstrated to be scientific and effective with a practical example.