Public available protein networks at present are static, which could not be used to describe the dynamic characteristics of proteins in a cell effectively. It is necessary to construct temporal protein network by integrating other biological data, which reflects the dynamic activities of proteins. Most of previous methods assume that all proteins are dynamic. However, in addition to dynamic protein, there are many static proteins in the cell. To this end, this paper proposes a new method to construct a temporal protein network both with dynamic and static proteins. In the method, proteins are classified into two types of dynamic and static, and then a protein network is constructed on each time point by both considering the interactions of dynamic and static proteins. Experimental test results show that the temporal protein network constructed by using the proposed method can improve the accuracy of the identification of protein complexes, which verified the reliability of the proposed method.