Scattering characteristics of space target in the visible spectrum, which can be used in target detection, target identification, and space docking, is calculated in this paper. Algorithm of scattering characteristics of space target is introduced. In the algorithm, space target is divided into thousands of triangle facets. In order to obtain scattering characteristics of the target, calculation of each facet will be needed. For each facet, calculation will be executed in the spectrum of 400-760 nanometers at intervals of 1 nanometer. Thousands of facets and hundreds of bands of each facet will cause huge calculation, thus the calculation will be very time-consuming. Taking into account the high parallelism of the algorithm, Graphic Processing Units (GPUs) are used to accelerate the algorithm. The acceleration reaches 300 times speedup on single Femi-generation NVDIA GTX 590 as compared to the single-thread CPU version of code on Intel(R) Xeon(R) CPU E5-2620. And a speedup of 412x can be reached when a Kepler-generation NVDIA K20c is used.