In this article, we use Ky Fan's lemma to obtain a new existence result for equilibrium problems which does not invoke monotonicity of the objective function. Then we focus on reformulating of generalized Nash equilibrium problems (GNEPs) in terms of an equilibrium problem under reasonable assumptions. Finally, using our existence result and the reformulation, we obtain an existence result for GNEPs. © 2011 Copyright Taylor and Francis Group, LLC.