This article introduces the review of literature for Kumaraswamy-generalized distribution as a general class; we review the most fields which covered for Kumaraswamy-generalized distribution. The new general class distribution can have a decreasing and upside-down bathtub failure rate function depending on the value of its parameters; it's including the Kumaraswamy-generalized Gamma distribution, some special sub-model depending on the original form. The Kumaraswamy-generalized Pareto distribution. On generalized order statistics from Kumaraswamy distribution.  Some structural properties of the proposed distribution are reviewed, including explicit expressions for the moments, order statistics and their moments. The most methods of estimation are covered.