Based on the analysis of optic spectrum to the rare earth doped glass and fabrication technique, the Er3+/Yb3+ codoped tellurite glass and its single-mode glass fiber are detailedly described here. Under exciting of 975nm LD laser, a broad ASE (amplified spontaneous emission emitting) in range of 1450 nm to 1650 nm is observed independence of the pumping laser power. Then, an approximate quasi-analytical model and rate equations with exact numerical solutions show good agreement with the experiments to the fiber ASE. Lastly, an "optimum design" of ASE intensity to the fiber length is discussed. The discussions will benefit the design of ASE lasers as well as to the noise analysis of Er3+ doped tellurite glass fiber amplifiers.