We study the lepton pair photoproduction in peripheral heavy-ion collisions based on formalism our previous work [Phys. Rev. D 104, 056011 (2021)]. present numerical results for distributions of transverse momentum, azimuthal angle and invariant mass $e^{+}e^{-}$ $\mu^{+}\mu^{-}$ pairs as functions impact parameter other kinematic variables Au+Au collisions. Our calculation incorporates informa...