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Each thermal generator has a fuel cost and heat rate that determines the economic aspects of a generator. To minimize the cost of operating the generator unit, optimization can be done using Economic Dispatch, so that the most optimal operating costs are achieved. In this study, the Augmented Lagrange-Hopfield Network (ALHN) method was used, where conventional Lagrange methods were combined with the Hopfield Neural Network method to accelerate the convergence process and obtain more optimal results. The results obtained indicate that the ALHN method can reduce generator unit operating costs with faster computational process than conventional Lagrange methods. Thus, the operating costs of the generation unit can be cut down.