This paper analyses the Soret and Dufour effects on an hydromagnetic two dimensional convective boundary layer flow of a viscous incompressible chemical reacting fluid over a vertical plate with convective surface boundary condition and has been studied. The similarity transformation is used to transform the system of partial differential equations into ordinary differential equations. An efficient numerical technique is implemented to solve the resultant system, using Runge-kutta fourth order method along with shooting technique. The results are presented graphically and the conclusion is drawn that the flow field and other quantities of physical interest are significantly influenced by these parameters. Also, comparision with the previous results shows a very good agreement.