In this paper, we report the upconversion luminescence of Nd: fluoride glasses pumped with 858 nm diode laser. Among the observed upconversion spectra, the green emission concerning with three photon process has overwhelming superiority in intensity, when the doping concentration of Nd3+ is enhanced, the green upconversion emission increases more drastically than that of other upconverted emissions. The experiment results indicate that fluoride glasses doped with Nd3+ posssess possibility of being green emitting upconversion materials. When the upconversion mechanism is discussed, the green luminescence concerning with three-photon is ascribed to three-ion cooperative upconversion.