Abstract: The paper deals with the study of steady laminar flow of an incompressible visco-elastic fluid referred to as Walter’s liquid B over an exponentially stretching sheet. The flow is assumed to be generated by applying two equal and opposite forces along the x-axis in such a way that the stretching of the boundary surface is of exponential order in x. Using quasi-linearization technique with a numerical approach, the numerical solution is obtained. The velocity profiles are obtained numerically and these are displayed through graphs for diverse values of visco-elastic parameter. The results are compared with those available in literature obtained through analytical procedures and are seen to be in good agreement.