The Processes of optimization of oil wells involve an objective function that maximizes the commercial price and minimizes the production cost. For the solution of this type of problem, in the last decade the evolutionary technologies have demonstrated to be an effective and efficient tool. In this work is presented an Evolutionary System to improve the performance of the Industrial Production in petroleum wells that require gas lift (LAG). The system must optimize an objective composed by two criteria: to maximize the production of oil and to minimize the flow of gas injection, based on the restrictions of the process and the operational cost of production.