The modeling and analysis of lifetimes is an important aspect of statistical work in a wide variety of scientific and technological fields. The study suggested for the first time, the called Odd generalized-Exponential Chen (OGECD) distribution. The new suggested distribution can have a decreasing and upside-down bathtub failure rate function depending on the value of its parameters; it's including some special sub-model like generalized Pareto distribution and its exponentiated. Some structural properties of the suggested distribution are studied including explicit expressions for the moments. The density function of the order statistics and their moments are obtained. Maximum likelihood is used for estimating the distribution parameters and the observed information matrix is derived. The information matrix is easily numerically determined. Monte Carlo simulations and the application of two real data sets are performed to illustrate the potentiality of this distribution.