Nonlinear hydromagnetic two dimensional steady, laminar, hydromagnetic boundary layer flows of a viscous, incompressible, electrically conducting, radiating metallic and non-metallic nanofluids, with nonlinear radiation effects past a plate stretching with power law velocity is analyzed in the presence of a variable magnetic field. Governing nonlinear partial differential equations are transformed to nonlinear ordinary differential equations by utilizing suitable similarity transformation. Then the resulting nonlinear ordinary differential equations are solved numerically using Fourth-Order Runge Kutta shooting method along with the Nachtsheim-Swigert iteration scheme for satisfaction of asymptotic boundary conditions. Velocity and temperature profiles are obtained for different values of velocity exponent parameter, magnetic interaction parameter, nanoparticle volume fraction, surface temperature parameter, radiation parameter and are displayed graphically. Values for skin friction coefficient and non-dimensional rate of heat transfer are also derived and displayed graphically. © 2016 Academic Publications, Ltd.