Nonlinear hydromagnetic two dimensional steady, laminar, hydromagnetic boundary layer flow of a viscous, incompressible, electrically conducting and radiating fluid, with nonlinear radiation past a porous plate stretching with a power-law velocity distribution is analysed in the presence of a variable magnetic field. The fluid is assumed to be a gray, emitting, absorbing but non-scattering medium. 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 for satisfaction of asymptotic boundary conditions. The numerical results for velocity and temperature distribution are obtained for different values of porosity parameter, velocity exponent parameter, magnetic interaction parameter, surface temperature parameter, radiation parameter, and Prandtl number and are shown graphically. Numerical values of skin friction coefficient and nondimensional rate of heat transfer are also derived. © Research India Publications.