The unsteady two-dimensional flow of a MHD non-Newtonian Maxwell fluid over a stretching surface with a prescribed surface temperature in the presence of a heat source/sink is investigated.Similarity solutions for the goveing equations are obtained.The transformed boundary layer equations are then solved numerically by using the shooting method.Fluid velocity initially decreases with the increasing unsteadiness parameter,and temperature decreases significantly due to unsteadiness.It is also found that the fluid velocity decreases with the increasing magnetic parameter.Increasing the Maxwell parameter values has the effect of suppressing the velocity field and increasing the temperature.