Abstract: In the dynamic response analysis of practical engineering structures, there are two commonly used direct integration methods, i.e., explicit integration method and implicit integration method. Both have some limitations, especially when structures are complex. How to combine them rationally and effectively is a very interesting topic. In this paper, an explicit-implicit integration method is put forward, in which implicit integration is used in local region of structure, and explicit integration is used in other regions. Because the time step is often influenced by such factors as material characteristics, size of local region, the proposed method can effectively overcome the shortcomings of the conventional explicit or implicit integration method and enhance calculation speed. Three numerical examples are given to demonstrate the proposed method.