The vibrational excitation integrated cross sections （ICSs） of the low-energy electron-H2 scattering are studied using the vibrational close-coupling （VCC） method. 18 Morse vibrational states, 5 partial waves and 4 molecular symmetries are used to converge the vibrational excitation ICSs. It is shown that the properties of the vibrational excitation scattering potentials and the accuracy of the vibrational excitation ICSs may be affected by the quality of the vibrational wavefunctions and the accuracy of the vibrational energies. The converged vibrational excitation （ν0=0→ν=0，1，2，3） ICSs agree well with the known experimental results.