The present paper investigates the effects of temperature dependent viscosity and Hall current on an unsteady flow of an incompressible electrically conducting fluid on a rotating disc in the presence of a uniform magnetic field. The induced magnetic field is neglected while the Hall effect is taken into consideration. The fluid viscosity is assumed as an inverse function of temperature. The system of axial-symmetric non-linear partial differential equations governing the unsteady flow and heat transfer are written in cylindrical polar coordinates, and reduced to non linear ordinary differential equations by introducing suitable similarity parameters. Numerical solutions are obtained by using Runge-Kutta and Shooting method. The nature of radial, tangential and axial velocities and temperature are shown for various non-dimensional parameters at different layers of the medium. The coefficients of skin frictions and the rate of heat transfer are calculated at different viscosity parameter {epsilon}, magnetic interaction parameter M, Hall current m and rotational parameter R. (author)