Abstract: A new regression analysis method is presented and the regression equation for censored data is established. The best unbiased integral estimators for the regression parameters,the standard deviation and their covariance are also given.The confidence limits of the regression curve and the confidence intervals of percentiles for normal distributions are discussed in detail.The traditional regression analysis is only suitable to complete data from normal distribution.In engineering,censored data is analyzed by group test method that requires a large number of samples.The present method extends traditional regression analysis to not only censored data but also extreme distribution and Weibull distribution.Compared with traditional method,the present method can reach a higher precision and a great number of specimens can be saved.