In this paper, the finite element method to analyze the adhesive bonded structures, of which the adherends are the two-dimensional elastic bodies with the optional shapes, is proposed. In the analytical model, the adhesive layer is assumed as the spring elements transmitting only a shearing or a normal force. The stiffness matrices for these elements are formulated to match the well-known finite element methods for the in and out-plane analyses of plate. By using this method, a single lap joint and a cleavage models are analysed numerically. The former is the model of which the adhesive layer transmites only a shearing force, on the other hand the latter corresponds to the model transmitting only a normal force. These numerical results are compared with the values obtained by the corresponding theories.