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We study the effective manipulation of the Andreev bound states and Josephson current in a superconductor-normal-superconductor junction on the surface of a topological insulator.The dependence of the Andreev bound state energy on the incident angle of quasiparticles and the phase difference between two superconductors is carefully discussed, which reveals that the energy of the Andreev bound states changes dramatically with the phase difference between both superconductors in a certain region of the incident angle of quasiparticles that can be controlled efficiently by the width of Josephson junction and the chemical potentials in normal and superconductor regions.We find that the velocity of Majorana fermions can be effectively tuned in a wide range by the chemical potential in the normal region.The Josephson current is also observed to vary obviously with the chemical potential of the normal region as well.In addition, we expose that the critical Josephson current and its product with the normal resistance in this system are, respectively, of a quarter and the same to those in a graphene-based Josephson junction.As the chemical potential can be manipulated through an external gate voltage or a chemical doping, we might present a realistic way to control the Andreev bound states and Josephson current in such a junction.