This investigation is concerned with the effect of Hall current on the steady rotating flow of a third grade fluid in a porous medium. The hydromagnetic flow between the two stationary plates is induced by a constant applied pressure gradient. Modified Darcy's law has been used in the flow modeling. Homotopy analysis method (HAM) has been employed for the analytic solution of the arising nonlinear problem. The effects of various interesting parameters on the velocity components are seen through graphs and a discussion.