A kind of tellurite glasses with the composition of 80TeO210Al2O310Cs2OxNd2O3 (x=0,0.5,1.0) (mol%) were fabricated by the conventional meltquenching method. The index of refraction of the glass was measured. The absorption apectra, fluorecence spectra and fluerecence decay cures of Nd3+in the glass were recorded. A JuddOfelt theory analysis was made based on the absorption spectrum for each Nd3+doped tellurite glass. The three JuddOfelt intensity parameters Ωλ(λ=2,4,6) for Nd3+ in TeO2Al2O3Cs2O glass were obtained form the absorptive spectrum and an fluorescence effective linewidth Δλeff , radiative transition probabilities AJ for emission from 4F3/2 to the 4IJ (J=9/2, 11/2, 13/2, 15/2) manifolds, luminescence branching ratios β, corresponding radiative lifetime τrad and quantum efficiency η, the stimulated emission cross section for the 4F3/2→4I11/2 transition σemi as well.The TeO2Al2O3Cs2O tellurite glass doped with 0.5mol% Nd3+ possesses a good effective linewidth of 31.4nm, a high quantum efficiency of 89% and a large value of σemi·τmeas up to 6.21×10－24cm2·s for the transition from 4F3/2 to 4I11/2. Spectrum analysis results indicate that, the Nd3+doped TeO2Al2O3Cs2O tellurite glass is a kind of solid laser material with excellent performance.