In this paper, the problem of inferencing the stress-strength reliability under Weibull-F
Models, when the stress and strength systems belong to the different families of distributions
from the Weibull-F Model are considered. Some stochastic comparisons between the survival
distribution functions of this model are obtained. Also, the asymptotic and several bootstrap
confidence intervals of stress-strength reliability are studied. The efficiency of asymptotic and
bootstrap confidence intervals are analyzed by simulation. The numerical example based on
real-life data is displayed as an illustration.