In this paper, dynamic analyses are made for (he pump and energy-store hydrauic system in a 3150 ton tube and form-bur press machine. The formulas for calculation are derived, and the so are the relationship between the press and the displacement, and the velocity and the acceleration. Numerical calculations are also made. The calculated results coincide with the measured data. The method in this paper has a universal reference meaning for all types of press machines with the type pump and energy-store hydraulic system.