A novel method is proposed for solving the two-sided matching problem under incomplete score environment. The two-sided matching problem with incomplete scores is firstly described. Then the formula of satisfaction degree is given. To maximize the satisfaction degree of each agent, a multi-objective optimization model is set up. Considering equal priority of each agent of one side, the multi-objective optimization model is converted into a bi-objective optimization model. The linear weighted method is used to convert the multi-objective optimization model into a single-objective optimization model. The matching alternative can be obtained by solving the model. Finally, an example is given to illustrate the potential application of the proposed method.