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Energy deposition of fast electrons driven by ultra-intense laser into the compressed core plasma is of important for overall coupling efficiency in fast ignition. In this paper, a reduced relativistic Fokker-Planck model is introduced to explore the kinetic processes of the energy deposition of fast electrons. The model, including both binary collision and the contribution from collective response, is formulated with Rosenbluth-like potentials and is numerically solved via spherical harmonics expansion method. Several cases of depositions are presented to make some analyses of fast ignition experiments in SGII laser facility.