Abstract: The non-failure stops(viz,the stopping time of the testing doesn’t correspond to a failure) of software reliability testing can be viewed as a type of right-censored failure data.However,the traditional J-M model can’t deal with this type of right-censored data directly.To resolve this problem,a modified J-M model with respect to the right-censored data is presented.Based on this modified model,the effect of the right-censored data on the estimations of the model parameters is analyzed,and then three separate stopping criteria for software reliability testing with regard to the ratio of residual defects,reliability and failure density are proposed.Finally,the modified model is applied on a classical failure data set.The results of the application show that the proposed model can deal with the right-censored data well since it can fully utilize the time information contained in the right-censored data.