Vibrational excitation of a molecule by electron impact is studied theoretically. Differential and integral cross sections in the incident energy region 4-35 eV for symmetric stretching and 4-50 eV for antisymmetric stretching modes are calculated. The calculation is based on the rotational sudden and vibrationally two-state close-coupling method with an ab initio electrostatic potential and approximate exchange and target polarization. The cross sections obtained are compared with experimental data. For symmetric stretching, differential cross sections are in a qualitative agreement with experimental data and two resonance peaks appear at around 14 and 32 eV. These resonances correspond to those found by Tronc et al in 1979 in their relative measurement of differential cross section at . For antisymmetric stretching, the present cross sections reproduce experimental data well. The energy dependence of cross sections shows resonances similar to those seen in the differential cross section for symmetric stretching.