We introduce a new class of continuous distributions called the generalized Burr X-G family. Some special models of the new family are provided. Some of its mathematical properties including explicit express for the quantile and generating functions, ordinary and incomplete moments, order statistics and R entropy are derived. The maximum likelihood is used for estimating the model parameters. The flexibility of the generated family is illustrated by means of two applications to real data sets. We introduce a new class of continuous distributions called the generalized Burr X-G family. Some special models of the new family are provided. Some of its mathematical properties including explicit expressions for the quantile and generating functions, ordinary and incomplete moments, order statistics and Rényi entropy are derived. The maximum likelihood is used for estimating the model parameters. The flexibility of the generated family is illustrated by means of two applications to real data sets.