Onchocerciasis disease is a debilitating disease that hampers the well-being and productive capacity of an infected person. This paper looked at the use of Adomian Decomposition Method (ADM) for solving and understanding the dynamic of the disease in a wholly susceptible population. The saturated incidence rate is introduced to the ‘existing’ mathematical model of the problem, and this result in a usual non-linear ODE. The mathematics of the model shows in the detail of the process of the spread of the disease and the transmission pathways. In the absence of vaccination or any form of treatment, the disease takes over the population in the course of time. The computation is carried out and graphical results showing healthy class and infected class are presented and discussed.