in this paper ,we extend the generalized time-dependtent logistic hazard model (GTDL)proposed by Mackenzie (1996) by using the hazard function of weibull distribution instead of the baseline hazard function as no form was assumed in this model. thus a modified from called ''generalized time dependent-weibull logistic hazard (GTD-WL)model''. The maximum likelihood method used to estimate the unknown parameters of the proposed model. Also , we obtained some special cases from this model. A simulation study examines the bais and the mean squared errors of the maximum likelihood estimates for the proposed model comparing with three other models .
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