This study is method of earthquake resistant analysis of Cable-stayed Bridge using direct integration method. In the method of the earthquake resistant analysis, considering the girder and the tower as the continuous system, we can apply the method of the response analysis, as replacing the Cable-stayed Bridge with Multi-Masspoint system owns Two-Degree of freedom, next, after setting up kinetic equation of the ground vivration when the earthquake acceleration acts on the horizontal direction and the vertical direction as considering the particularity of system of the Cable-stayed Bridge, and then, get the eigenvalue and eigenvector, using the mass of masspoints and the influence value of deflection when we act unit-load on the girder and the tower Next, we can get actual the response absolute acceleration by the Direct Integration Method when we let the El Centro earthquake wave continue for 5.0 seconds at interval of 0.01 second. Consequently, we can get many sorts of section force by the earthquake load, if we multiplyed the inertia force thinking as the load by statical many sorts of influence value. By the above-mentioned methhods of analysis, selecting Jindo Bridge as the model of the numerical analysis, carried out the numerical calculation.