Abstract: A new analysis method of robust stability analysis was proposed for general applications. In this method, the solution of the highest and lowest efficiency scores of each decision making unit (DMU) in an interval data envelopment analysis (DEA) is obtained firstly to determine the interval efficiency score of each DMU and classify DMUs. Then a so-called post-interval DEA model is built. Based on the optimum solution of this model, an index figuring out the stability of maintaining the highest score is introduced. As a result, the analysis of robust stability for interval DEA can be achieved. Finally, to explain the application of this method, an example was given.