Ultraperipheral collisions(UPCs)of protons and nuclei are important for the study of the photoproduc-tion of vector mesons and exotic states.The photoproduction of vector mesons in the pentaquark resonance channel in p-Au UPCs at the Relative Heavy Ion Collider(RHIC)and p-Pb UPCs at the Large Hadron Collider(LHC)is in-vestigated by employing the STARlight package.The cross sections of vector mesons via the pentaquark state reson-ance channel are obtained using the effective Lagrangian method.The pseudo-rapidity and rapidity distributions of J/ψ and Υ(1S)are given for p-Au UPCs at the RHIC and p-PbUPCs at the LHC.It is found that the RHIC is a bet-ter platform for discovering pentaquark states than the LHC.Moreover,Pb(11080)is easier to identify than Pc(4312)because the background of Υ(1S)is weaker than that of J/ψ in the t-channel at the RHIC.