This paper offering a new weighted distribution known as the Double Weighted Weibull Distribution (DWWD). The statistical properties of the (DWWD) are derived and discussed, including the mean, variance, coefficient of variation, moments, mode, reliability function, hazard function and the reverse hazard function. Also the parameters of this distribution are estimated by the maximum likelihood estimation method. The plots of survival function, hazard function and reverse hazard function of (DWWD) are also presented. The worth of the distribution has been demonstrated by applying it to real life data. Keywords:Weighted distribution, Double Weighted distribution, Weibull distribution, Reliability estimation
