A theoretical steady of two-dimensional and MHD couple stress fluid flow over a linearly stretching sheet is investigated with the effects of thermal radiation, internal heat generation and homogeneous chemical reaction of first order. The governing equations of continuity, momentum, energy and diffusion for this boundary layer flow are transformed into one set of coupled non-linear ordinary differential equations using the local similarity transformation and are then solved using the fourth-order Runge-Kutta method along with the shooting technique. The effects of the couple stress parameter (S), Magnetic parameter (M) and chemical reaction parameter (Cr) are presented through the graphical illustrations. It has been found from the results that the temperature of the couple stress fluid is enhanced due to increases in P r, Ec, M and Q but decreased with R and S. Increase in the couple stress parameter (S) enhances the flow velocity but enhance in the magnetic field (M) reduces the flow velocity.