Abstract: This research aims to use the (Whittaker - Henderson) method, which is an (Nonparametric Method) for graduate, the crude death rates to obtain the smoothness and fitness death rates, because it is one of the most common methods for smoothing the crude death rates, for crude mortality rates. It has the capacity to explicitly balance the smoothness as well as the fitness of the smoothed curve relative to the crude rates through its parameters by minimizing a difference equation. Non-parametric methods depend only on the nature of the observed data. The crude central death rates for the single ages were smoothed and fitted using Whittaker-Henderson graduation technique by four assumptions through the program (R) and the third hypothesis was the best assumption of graduated for both males and females. The study recommended the important of graduation for the crude death rates and their smoothing to rid them of the irregularities resulting from the randomness in the 2 exposure and the number of deaths in order to facilitate dealing with these rates to complete the process of establishing death tables.