We investigate theoretically the electron transport properties of a two-sublevel quantum wire irradiated by a strong laser field resonant with the quasiparticle transition at low temperatures. Using the method of theKeldysh equation of motion for nonequilibrium Green function, we examine the time-averaged conductance forthe system with photon polarization parallel and perpendicular to the tunnelling current direction, respectively.We demonstrate that, by analysing some numerical examples, a feature of absolute negative conductance appearsin the parallel case, while the conductance shows a symmetry distributed peaks in the perpendicular case.