The dynamical characteristics for the coupled pendulum and beam system were studied. The nonlinear characteristics, including geometrically nonlinear and physically nonlinear, were not considered in the beam and pendulum. But the nonlinear items were found in the coupled vibration equations derived from structure dynamics. Using the perturbation method, the dynamical response and bifurcation were studied. Using the software MATHMATIC, the responses of point near the bifurcation point were obtained.