The dynamical properties of Rydberg hydrogen atom in an electric field near a metal surface are presented by analyzing the phase space. The dynamical behavior of the excited hydrogen atom depends sensitively on the atom-surface distance and the electric field strength. The evolutions of the Poincar surface of section and the electric orbit are analyzed for a certain atom-surface distance and different electric field strengths. The results indicate that the electric field accelerates the adsorption of electron. With the increase of the electric field strength, the controlling factor of dynamical behavior changes from the atom-surface distance to the electric field strength. As the electric field strength becomes very large, the system is integrable and all the electric orbits become vibrational type of orbits.