Fermi liquid model with elemental charge of e*(e*=ge) is used to describe the electrical transport in carbon nanotubes, so the scattering theory can be used to calculate the zero-frequency shot noise in nanotubes. When the temperature is 0K, the nanotube with a strong barrier has the shot noise of 2geI. A new approach to measure the Luttinger g-factor of nanotubes is created: forming a strong barrier in nanotube, measuring its shot noise S, and then calculating the g-factor.