Compound parabolic collector(CPC) plays an important role in optical efficiency of linear Fresnel reflector(LFR) system. The CPC for LFR was studied, and its mathematical model was established by using Matlab. The method of ray tracking was used to calculate the convergence ratios of CPC with different gap, different maximum acceptance angle, and different truncation ratio. The simulation study illustrates that the CPC for LFR has the specific convergence ratio for the ray with different incident angle. There are two minimum points in the convergence ratio with the change of incident angle. And their positions only depend on maximum acceptance angle, not including truncation ratio and gap. The CPC with gap 50 mm, maximum acceptance angle 45°, and truncation ration 0.75, could achieve a high concentrate ration about 80.15%. The simulation method was further verified by the experimental measurement results, and it has guiding significance for design of CPC.