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The protection of spacecraft against hypervelocity impacts of space debris causing fatal damage to spacecraft stractures has received wide attention. In this paper is concerned with the numerical analysis of hypervelocity solid-solid impacts and evaluation of protection capability of double bumper debris shields. To analyze numerically the hypervelocity solid-solid impact phenomena, an improved Smoothed Particle Hydrodynamics (SPH) method with new particle generation and particle merger techniques is used. We first propose to evaluate the protection capability of debris shields on the basis of the kinetic energy of debris cloud through unit area at the position of pressure wall, and then evaluate the protection capability of double bumper debris shields. As a consequence, it is elucidated that the double bumper debris shields have high protection capability and could reduce the damage of pressure walls.