The 2-step analysis method is the most widely used one in the statistical analysis for constant-stress accelerated life testing under Weibull distribution. Aiming at the deficiency of the 2-step analysis method, this paper develops a new analysis method based on constructed data. The method takes the relativity between Weibull distribution parameters into account, and introduces the 2nd. estimation for characteristic life of Weibull distribution. The method exceeds the 2-step analysis on model fitting optimization, and it improves the precision of estimation for accelerated life testing in turn. Moreover, the method is more convenient for software realization and engineering application.