  We introduce in this paper a new generalization of the flexible Weibull
distribution with four parameters. This model based on the Beta generalized
(BG) distribution, Eugene et al. \cite{Eugeneetal2002}, they first using the BG
distribution for generating new generalizations. This new model is called the
beta flexible Weibull BFW distribution. Some statistical properties such as the
mode, the $r$th moment, skewness and kurtosis are derived. The moment
generating function and the order statistics are obtained. Moreover, the
estimations of the parameters are given by maximum likelihood method and the
Fisher's information matrix is derived. Finally, we study the advantage of the
BFW distribution by an application using real data set.
