ABSTRACT : In light of recent study on the dark energy models that manifest an equation of state w < -1 , we investigate the cosmological evolution of such a phantom field in a specific potential , exponential potential in this paper . The phase plane analysis show that the there is a late time attractor solution in this model , which address the similar issues as that of fine tuning problems in conventional quintessence models . The equation of state w is determined by the attractor which is dependent on the \lambda parameter in the potential . We also show that this model is stable for our present observable Universe .