In this paper, the Bayesian method, an estimate method for parameter in reliability engineering is put forward. The author gives definition of the new Bayesian estimate for failure probability and failure rate, and shows the estimate of the failure probability and the failure rate by new Bayesian method. Finally, calculations are performed regarding to practical problems, which show that the new Bayesian method is feasible, easy to operate, and convenient to use for engineers and technicians in fieldwork.