The spot flux-density distribution on the focal plane of linear Fresnel reflecting (LFR) concentrators is calculated with Matlab program by the ray-tracing method, with the shape of the sun, cosine loss, shading and blocking loss, taken into account in the process. Three-dimensional optical geometric model is established and the spot flux-density distribution is calculated with Matlab program. The model is demonstrated and justified by comparing simulation results of this Matlab program with that of SolTrace software developed by the U.S. National Renewable Energy Laboratory (NREL). The effects of different mirror shapes for LFR are also compared in order to obtain the higher efficiency of concentrator field.