Based on MTS-815.02 servo-controlled rock mechanics and acoustic emission (AE) integrated test system, the strength, shear deformation localization and damage AE-energy-rate characteristics process of coal specimen from Weihuliang Coal Mine under tri-axial loading were analyzed. A new model of Weibull distribution on the AE higher energy-rate emergence interval under tri-axial loading had been established, the total probability of coal sample localization failure in an interval is proposed. Then, the forecasting analysis of the coal fracture failure can be studied. The results indicate that the Weibull distribution of the AE higher energy-rate emergence were similar to the experimental results that measured. It is very important to the identification and ration prediction of coal failure in the mining.