Numerical study is conducted to investigate the heat and mass transfer of MHD free convection of nanofluid with viscous dissipation and Hall current effects. The numerical method is utilized to study the effects of Hall parameter, viscous dissipation with consideration of free convection. The governed partial differential equations have been reduced to ordinary differential equations. The reduced ordinary differential equations have been numerically solved by Keller Box method. Influence of different involved dimensionless flow parameters on dimensionless velocity, micropolar, temperature and nano particle volume fraction profiles are examined. With an increasing of Brownian motion parameter and thermophoresis parameter the temperature profile is increasing and the nano particle volume fraction profile is decreasing. With the increase of Hall current parameter the velocity and temperature are increasing but the micropolar fluid motion and nano particle volume fraction profiles are decreasing