The Economic Load Dispatch (ELD) problem is how to real power output of each controlled generating unit in an area is selected to meet a given load and to minimize the total operating cost in the area. This is one of the important problems in a power system. The Hopfield Neural Network (HNN) has a good capability to solve optimization problems. Recently, the economic load dispatch problem solved by using the Hopfield neural network approach and good result has obtained. This paper presents a new approach for solving ELD problem considering the returning cost using HNN model. In this approach two energy functions are introduced. The first energy function consist of mismatch power, total fuel cost and transmission line losses. Each term of this function is multiplied by a weighting factor which represents the relative importance of those terms. The other energy function composed of total fuel cost and losses power cost. Our purpose is to minimize these two function and the results shows that solving ELD problem with this approach yield more saving cost.