In this paper we discuss analytical solution for the unsteady magneto hydro dynamic flow is constructed in a rotating non-Newtonian fluid through a porous medium taking hall current into account. The constitutive equations for a Maxwell fluid have been taken into consideration. The hydro magnetic flow in the uniformly rotating fluid is generated by a suddenly moved infinite plate in its own plane. The analytical solution of the governing flow problem is obtained by means of Fourier sine transform. It is shown that the obtained solution satisfies both associate partial differential equation and the initial and boundary conditions. The solution for a Navier-Stokes fluid is recovered if The steady state solution is also obtained for.