This paper reports on upconversion properties of Tm3+/Yb3+ co-doped TeO2-Ga2O3-R2O (R=Li, Na, K) glasses pumped by 808 and 977 nm laser diodes (LD). An intense upconversion emission centered at 476-nm (blue) along with a weak emission at 650 nm (red) has been observed when pumped by 977 nm LD, assigned to the transitions of 1G4→3H6 and 1G4→3H4 and/or 3F2，3→3H6 of Tm3+, respectively. The 476-nm upconversion intensity has a nearly cubic dependence on incident pump laser power, indicating a three-photon process. However, a quadratic dependence of the 476-nm upconversion intensity on the incident pump laser power has been observed when pumped by 808 nm LD, due to two-photon absorption process. It is noticed that the intensity of the blue-upconversion emission increases signifieantly with increasing radius of alkali metal of samples when pumped by 977 nm LD, while no obvious change has been observed when pumped by 808 nm LD.