The reliability demonstration testing procedure for Weibull distribution is discussed.First,the noninformative prior distribution of the parameters of the life distribution is derived.Then the prior PDF(Probability Density Function) of these parameters are given combining with prior information according to Bayesian theorem. Finally,the reliability demonstration testing procedure is analyzed taking into consideration the consumer's profit and producer's profit. The simulation results show that the consumer's profit and producer's profit can be compromised.