The fusion reaction of halo nuclei on heavy target is investigated in a three-body reaction model. A time-dependent wave-packet method is employed to solve the three-body Schrodinger equation. We find that the fusion probability is enhanced by the presence of the halo nucleon for proton halo nuclei, contrary to the neutron halo case for which we previously reported that the halo neutron suppresses the fusion. The reason of the opposite effect between proton and neutron halos is discussed.