For dynamic multi-attribute decision-making problems, in which the attribute value of alternatives is threeparameter interval grey number, a dynamic multi-attribute decision making method based on the prospect theory is proposed. The distance measure and ranking method of three-parameters interval grey numbers is defined in view of differences and volatility of the evaluation objects in the timing, an optimized model based on the variance and time degree is built to determine the time weight. The prospect value function is determined with reference to each other alternatives, and a multiindex optimization model can be built to solve the optimum weight vector, and the alternatives are ranked based on integrated prospect values. An example is presented to illustrate the usefulness and effectiveness of the proposed method.