Abstract-A Hybrid NEURO-EPSO algorithm for solving Economic Load Dispatch Problem (ELD) with non-smooth cost function is presented in this paper. The ELD problem is a highly constrained, large scale, non-linear optimization problem, considering the equality and the inequality constraints. To demonstrate the effectiveness of the proposed algorithm, it is applied to test ELD problem with non-smooth cost function while considering the Valve-Point loading effect. Here we employ an Efficient PSO technique and the Back Propagation Algorithm(NN) to solve the ELD problem, so that faster convergence and more optimized results are obtained compared to other optimization techniques.