Based on the interval neutrosophic numbers, a new multi-objective optimal model of two-sided matching is researched. Through integrating interval neutrosophic information of each subject, the relative closeness degree of uncertainty evaluation information and positive and negative ideal is calculated by the approximate method, which can be expected as the satisfaction of the matching subjects. According to these, a multi-objective optimal model of two-sided matching is constructed, and applied to the leisure industry technology demand and supply. Finally a numerical example is given to illustrate the feasibility and validity of the proposed method.