Abstract: This paper presents a theoretical analysis for the annular axisymmetric stagnation slip flow on a moving cylinder. The governing system of partial differential equations is first transformed into a system of dimensionless ordinary differential equations. By using the homotopy analysis method, a convergent series solution is obtained. The solutions indicate that the flow and shear stress depend heavily on the velocity slip parameter. Also, effect of increasing values of λ is to decrease the surface shear stress. Besides, both drag and moment experienced by the inner cylinder are increased by the increased Reynolds number and the decreased ratio of axial velocity to injection velocity.