The absolute differential cross sections of e-Ar scattering in the laser are calculated employing the second Born approximation with optical potential model in special scattering geometry that the incident electron beam is parallel to the polarization direction of laser field. In order to test these results, the differential cross sections of e-Ar scattering are calculated with the static screen potential by the second Born approximation and low-frequency formula, respectively. The second Born approximation obtains better results compared with the experimental data. The absolute differential cross sections of e-Ar scattering are calculated employing the second Born approximation with optical potential model and the best results are obtained.