The differential cross sections (DCS) of low-energy electron-N2 scattering are studied using vibrational close-coupling (VCC) method and vibrational scattering potentials which include the static, exchange and polarization contributions, where the polarization is obtained on the basis of “better than adiabatic dipole" (BTAD) and “distributed spherical Gaussian" (DSG) respectively. The converged (0→2, 0→3) DCS are obtained for the impact energy of 2.40eV. Calculations using both polarization potentials agree with experimental results. The physical factors that possibly affect the accuracy of DCS values are also discussed.