Taking advantages of the monochromatic X-ray diffraction property of Laue crystals, an innovative use of logarithmic spiral bent Laue crystals for X-ray monochromatic imaging is investigated. According to the ray tracing method and the surface equation of the logarithmic spiral, the imaging principles and characteristics of the logarithmic spiral bent Laue crystals are studied, including the condition that the diffracted beam can be separated from the transmitted beam, the magnifications and the field of view (FOV). A logarithmic spiral bent quartz (1010) Laue crystal analyzer is developed. With the proposed crystal analyzer, the monochromatic backlight imaging experiment for the mesh grid with a diameter of 50 μm is carried out by taking an X-ray source of Cu target as the backlighter. The experimental results show that the spatial resolution of the analyzer is approximately 11.9 μm under a source diameter of 110 μm. Furthermore, the FOVs of the crystal analyzer are 22.3557 mm and 8.2602 mm in horizontal and vertical directions, respectively.