Effects of variable viscosity and thermal conductivity on magnetohydrodynamic free convection slip flow and heat transfer of micropolar fluid over a vertical plate with viscous dissipation have been studied. The fluid viscosity and thermal conductivity are assumed to be vary as an inverse linear functions of temperature. The governing partial differential equations of motion are transformed into a system of ordinary differential equations using similarity transformations which are solved numerically for prescribed boundary conditions by shooting method. Numerical results for the velocity, angular velocity and temperature profile are shown graphically for various values of the parameters which gives the flow and heat transfer characteristics of the fluid. The results show that the variable viscosity and thermal conductivity have significant influence on the flow and heat transfer of the fluid