This paper introduces a new generalization of the Kumaraswamy transmuted exponentiated exponential distribution, based on a new family of life time distribution by Mansour et al.(2015) .We refer to the new distribution as Kumaraswamy
new transmuted exponential (Kw − NT E) distribution. The new model contains
some of lifetime distributions as special cases such as exponentiated exponential,
transmuted exponential and exponential distributions. 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.