In this study, a Kirkpatrick-Baez (KBA) X-ray microscope is developed to diagnose laser-produced plasmas and research the inertial confinement fusion. The microscope comprises two sets of bimirrors. Herein, the ray-tracing program for grazing incident reflectors is studied. The KBA reflector is designed by using this program. It is found that the bimirror would be compact if the aperture stop is placed on the second mirror. Furthermore, the influences of field curvature and pitch angle of KBA microscope on the image quality are studied, and the optimal defocusing distance and the pitch angle error of the system are determined.