In this paper, we propose a new algorithm for parallel computing of combination of BEM and FEM. Each analysis is performed independently by introducing domain decomposition of an entire domain into the boundary element and finite element subdomains. An iterative scheme for parallel computing is the Schwarz method which was previously adopted to the domain decomposition parallel scheme for the BEM analysis. Cluster parallel workstations are employed for efficient analysis We examine the convergence and the accuracy of solutions and show some numerical examples.