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In this paper, we introduce a new lifetime model, called the Generalized Weibull-Burr XII distribution. We discuss some of its mathematical properties such as density, hazard rate functions, quantile function and moments. Maximum likelihood method is used to estimate model parameters. A simulation study is performed to assess the performance of maximum likelihood estimators by means of biases, mean squared errors. Finally, we prove that the proposed distribution is a very competitive model to other classical models by means of application on real data set.