Abstract: The paper deals with the estimation problem of Poisson type Exponential Class model which has wide application in software reliability. This model consists of two parameters namely, the total number of failures and the failure rate. Considering the behaviour of the parameter, total number of failure and limitation of Poisson distribution, a generalized Poisson distribution has been proposed as a prior for this parameter. Further, an inverted Gamma prior has been selected for failure rate in view of its property. The Bayes estimators have been obtained considering these priors under Squared Error Loss Function. To study the performance of obtained estimators, these estimators have been compared with corresponding maximum likelihood estimators on the basis of a Monte Carlo simulation study.