Light-induced drift velocity is an important parameter to evaluate the effect of light-induced drift, so it is important for the research of light-induced drift. In this paper, strong collision model is used to describe collision of lithium atoms and buffer gas. The effects of hyperfine structure and degeneracy of energy level on light-induced drift are also considered when establishing rate equation to express the distribution of lithium atoms in different velocities and different energy levels. In this way, light-induced drift velocity of lithium atoms is obtained. In the meantime, the influences of several parameters, like laser wavelength, laser power density, buffer gas pressure, type of buffer gas, and temperature on light-induced drift velocity of lithium are also studied. It can be seen that the relationship between light-induced drift velocity and each parameter confirms with physical principles of light-induced drift and experimental results of related literatures.