We calculate the hard photoproduction of light vector meson from the fragmentation of photon in Pb-Pb collisions.Using the perturbative quantum chromodynamics calculation,we rigorously derive the electromagnetic fragmentation production for p,ω and φ in relativistic nucleus-nucleus collisions by the photoproduction processes.It is shown that the differential cross section of photoproduction processes of light vector meson cannot be negligible in relativistic heavy ion collisions at Large Hadron Collider energies.