The purpose of this paper is to construct a multi-objective optimization model for cooperative pricing in the management of apparel supply chain. Firstly, by using Apparel Popularity Index (API) model, a kind of pricing model for supply chain has been built. Then, by introducing cooperation and other constraint conditions, a kind of cooperative pricing model was constructed. This model is a kind of Stackelberg game. The manufacturer and the retailer obtained their excess profits through the game. Lastly, this paper gave a numerical example which demonstrated that the excess profit of the coope...