Abstract: This paper proposes a statistical method of working out reliability sampling inspection plans under complete sample and Type I censored sample, respectively, for items whose failure times are distributed as two-parameter Weibull distributions. The quality statistic is a monotonous function of a method of moments estimator of the unreliability. An approach of choosing a truncation time is advanced. The sample size and acceptability constant are approximately determined by using the Cornish-Fisher expansion for quartiles od distribution. Simulation results show that the method given in this paper is feasible.