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Intense near-ultraviolet (UV) upconversion emission of 365 nm has been obtained in Tm3+/Yb3+ co-doped lithium gallogermanate oxide glass upon a 980-nm laser diode excitation. This near-UV emission originates from the Tm3+:1D2→3H6 transition. The cross relaxation process [1G4,3H4]→[3F4,1D2] is shown to play a critical role in population of the emitting level Tm3+1D2. The low phonon energy (~ 825 cm-1) and high transparency at near-UV of the glass matrix also contribute to this emission. The emission cross section is calculated to be 6.46×10-21cm2, which is larger than Tm3+1.47 and 1.80-μm transitions. The results indicate that, other than single crystal and nano-glass-ceramic, this system is a promising alternative for development of near-UV lasers.