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 emisson concerning with three photon process has overwhelming superiority in intentisty,when the doping concentration of Nd3+ is enhanced, the green upconverion emission increases more drastically than that of other upconverted emissions. The experiment results indicate that fluoride glasses doped with Nd3+ posssses 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.