This paper presents a method of the fast solving technique for electro-mechanical motional systems. Various numerical analysis methods such as finite element method (FEM), boundary element method (BEM) and others employ time-stepping method to analyze the dynamic characteristics of electromechanical systems. Since the system matrix must be solved at each incremental time, this time-stepping method proves to be time-consuming. To solve these problems, this paper presents a fast solving technique by using the extracted circuit parameters and electro-mechanical coupled state equations. To show validity and usefulness of proposed method, two electromagnetic motional systems were tested, and the time-stepping method using FEM was compared with the proposed method.