Abstract: This paper presents a method of solving low Reynolds number non-linear flow past a body. To be based on Oseen's equation, the effect of non-linear terms is considered by successive iteration. First, we write Navier-Stokes equation as Oseen's equation,with a forcing function (i, e, non-linear terms);then,this equation solution is given by a integral form of the ‘Oseenlet’. It is a non-linear integral-differential equation which involves a body surface integral and a flow space integral. Let distributive intensity of the ‘Oseenlet’ on the surface be unknown. They are decided by the boundary condition. Since the Space integral depends on the flow field which is not known prior to solution, an iterative scheme is used. The iterative process continues until a convergent solution is complete.This method is used to evaluate the drag acting on a single cylinder in uniform flow until Reynolds number Re=10. The obtaining results is-compared with the experimental data and the related results. It indicates that the present method is satisfactory.