It is well known that there is hardly any fluid that obeys Newtonian fluid exactly. At high speed, the Newtonian law of viscosity fails to hold anymore, and the deviation from Newtonian law becomes very significant.Eyring–Powell fluid provides a better model for such fluids at high speed because it includes some plasticity. Eyring–Powell fluids have prime applications in polymer industries, squeezing of plastic sheets, etc. This study investigates the magnetohydrodynamic (MHD) Eyring–Powell flow past a stretching sheet with convective boundary conditions.The governing nonlinear partial differential equations are transformed to the system of nonlinear ordinary differential equations using similarity variables of flow quantities. The shooting technique is used with Runge–Kutta numerical scheme to numerically solve the problem and the results are presented as graphs. The results from this research indicate that it is sufficient to enhance viscous dissipations to boost primary velocity, secondary velocity and the temperature of MHD Eyring–Powell flow. More so, increasing magnetic field strength impedes the flow ofEyring–Powell fluid, increases the temperature profiles and reduces the shear drag in the boundary layer.