Abstract: In this paper, it deals that the numerical study of variable thermal conductivity and radiation on the flow and heat transfer of an electrically conducting micropolar nanofluid over a continuously stretching surface with varying temperature in the presence of a magnetic field and heat source/sink. The governing conservation equations of Angular momentum, energy, momentum and mass are converted into a system of non-linear ordinary differential equations by means of similarity transformation. The resulting coupled system non-linear ordinary differential equations are solved by implicit finite difference method along with the Thomas algorithm.