This article basically focused on some statistical properties of exponentiated-weighted weibull model which of course numerous authors have written one thing or the other on exponential weibull distribution and not on exponential weighted weibull. This model is established with a view to obtaining a model that is better than both weighted weibull and weibull distribution in terms of the estimate of their characteristics and their parameters using the logit of Beta by Jones (2004). The weighted weibull distribution is proposed by Mahdy (2013) with an additional parameter called “sensitive skewness parameter”. Some basic properties of the proposed model including moments and moment generating function (first and second moments about the origin even with standard deviation are derive), survival rate function, hazard rate function, asymptotic behaviours, and the estimation of parameters have been studied. The result from the new model is better representativeness in data and its flexibility and shape.