In this article, we investigate the estimation of the simple step-stress model based on type-II hybrid censoring scheme. The data failure times for simple step-stress model are assumed to follow the two parameters Exponentiated Rayleigh distribution at each stress level with scale parameter which is an inverse Power Law function of the stress. The maximum likelihood and Bayesian methods of estimation are used to estimate the unknown parameters. Bayes estimators have been developed under square error loss function, as well as under linear exponential, General Entropy and weighted loss functions. The performance of the estimate parameters is evaluated using RMSEs criteria. In addition, the reliability and hazard rate functions obtained with different mission times.