Abstract: A domain decomposition method (DDM) is presented by analyzing electromagnetic scattering problems involving multiple objects. In this method, each object is regarded as a sub-region that is dealt with by employing the vector finite element method. The sub-regions communicate through the boundary integral equation based on Green′s function. The coupling system of equations is solved by utilizing the characteristic basis function method. Due to the flexibility of vector finite element method, the present domain decomposition method(DDM) can easily deal with the problems of scattering by multiple complex objects with the same configuration. The validity and capability of the method is illustrated by numerical examples.