The J/psi, photoproduction via resolved photon process at HERA is studied. it turns out that the J/psi production is dominated by the leading order production process in low p(t) range (p(t) < 4 GeV), while in the high p(t) range (p(t) > 4 GeV), it is dominated by the fragmentation processes. The difference of J/psi cross section caused by using GRV and DO photon structure functions is large, especially in the large negative rapidity range. Hence it is possible to use the J/psi photoproduction process to probe the parton distribution of photon and proton, as well as to test the gluon and heavy...