This paper provides a new generalization of the Generalized exponential geometric distribution that introduced by Bidram et al. [6]. The new distribution is referred to as exponentiated linear exponential geometric distribution (ELEGD). The new model contains life time distributions as special cases such as new generalization of the Generalized exponential geometric(NGEG), linear falire rate and exponential distributions, among others. The properties of the new model are discussed and the maximum likelihood estimation is used to evaluate the parameters. Explicit expressions are derived for the moments and examine the order statistics. This model is capable of modeling various shapes of aging and failure criteria.