The band structures and electronic density of states of alkali metal doped SnO2 systems were calculated by using the first-principles theory. The results show that with the increase of the energy levels of the doped SnO2 system, the band gap can be adjusted well. The energy levels of the valence band top cross the Fermi line in the Li, Na, K, Rb doped SnO2 system,and the system shows the characteristics of semiconductors. More energy levels were introduced to the Fermi line in Rb-doped SnO2 system, because the valence band top moves to the low energy region in Cs, Fr doped SnO2, the energy levels of the valence band top do not cross the Fermi line. The density of states of the doped system is hybrids near the Fermi line. Compared with the Cs-doped SnO2, the energy levels in the Fr-doped SnO2 disperse. The change of reflectivity of doped SnO2 is mainly reflected in the visible and ultraviolet region, and the absorption edge is red shifted, which plays an important role in the realization of SnO2 photocatalysis.