The Radiation pressure of a moving ladder-type three-level atom in a squeezed vacuum is discussed. From the Hamiltonian of the atomic system, making use of Born-Markoff approximation, the optical Bloch equations are derived. As the time scales for the evolution of internal and external degrees of freedom are highly distinct, the steady-state solutions of the optical Bloch equations can be obtained using numerical calculation. Then the graphical method is used to discuss the dependence of the force on various parameters such as two-photon detuning, Rabi frequencies and spontaneous emissions. The result shows that the radiation pressure shows Doppler-shifted resonance peaks resulting respectively from one-photon and two-photon transitions, and the radiation pressure depends strongly on the relative phase of the driving field and the squeezed vacuum. When the phase matching condition is fulfilled, the dissipative force will be diminished.