The stray light from a space off-axis reflective CCD camera is analyzed. The irradiance images of CCD are obtained and decomposed. The path of stray light which occupies more energy of irradiance images is determined. According to the results of optical simulation, stray light suppression measures for two imaging channels are proposed and optimized. After re-simulation, the veiling glare indexes of the two imaging channels are greatly reduced. According to the observation object of the camera, the point source transmission (PST) is used to test the effectiveness of stray light suppression measures. When the off-axis angle is 30°, the PST of the camera reaches the order of 10 ^-8, which meets the design requirements.