We investigate entropy production rate in a temperature dependent viscosity Hartmann flow with Hall current through a rotating permeable channel. It is assumed that fluid suction occurs at the upper wall and injection at lower wall. The nonlinear governing differential equations are obtained, analyzed and solved numerically using shooting technique together with Runge-Kutta-Fehlberg integration method. Velocity and temperature profiles obtained from the numerical solutions are then used to compute the skin frictions, Nusselt number, the entropy generation rate and the Bejan number. The germane results are presented and discussed quantitatively.