The laminar flow of an incompressible Jeffrey fluid past an infinite wall is modeled and analyzed analytically considering slip effect. The suction velocity distribution consisting of a basic steady distribution with a superimposed weak transversely varying distribution is assumed. The problem turns out to be three dimension because of variation of suction velocity in transverse direction on the wall. A series expansion technique is employed to obtain approximate solutions for velocity field, skin friction, and pressure. The effects of non-Newtonian Jeffrey fluid parameter 1 , elastic parameter K, and slip parameter γ on velocity field and skin friction are presented graphically. Strongly dependence of skin friction factor in the direction of main flow on slip parameter is noted.