[en] Based on the quantum kinetic equation for electrons, we theoretically study the influence of a Strong Electromagnetic Wave (EMW) on the Hall effect in a cylindrical quantum wire with infinitely high potential = 0) inside the wire and = ∞ elsewhere subjected to a crossed dc electric field = (0, 0, E_1) and magnetic field = (0, B, 0) in the presence of a strong EMW (laser radiation) characterized by electric field = (0, 0, E_0 sin Ωt) (where E_0 and Ω are amplitude and frequency of EMW, respectively). We obtain the analytic expressions for the components σ_z_z and σ_x_z of Hall conductivity as well as Hall coefficient with the dependence on B, Ω. The results are numerically evaluated and graphed for GaAs/GaAsAl quantum wire to show clearly the dependence of Hall conductivity and Hall coefficient on above parameters. (paper)