This thesis investigates a system of support to the decision based on Genetic Algorithms and Monte Carlo Simulation for the creation of portfolio projects of oil and gas. The objective of this work is to evaluate the performance of Genetic Algorithms -GA- to select projects that will form the portfolio. The portfolio construction of projects is a problem of objective multiples, where it is wishes to choose a set of projects with profit perspectives to form a portfolio. The system uses the Genetic Algorithm to create the portfolio formation of projects. After that, the Monte Carlo Simulation is used to get the function of distribution of the Net Present Value -NPV- of the portfolio based on the distributions of the chosen projects. Finally, the portfolio is evaluated portfolio by using itself the method of minimizes energy for the three considered objectives. The problem consists, basically, in maximizing the average of the NPV which represents the return expected, minimizing the Standard of Deviation, which is the measure of the risk, and maximizing the Percentile 90 -P90-, which means the possibility to get a bigger profit. In the study of cases, it is presented the results of the application of the system for different groups of projects, consisting in 16, 18, 20 and 26 projects, where each project has theoretical distributions of the NPV defined by functions: F, Normal and Logarithmic, formed for 500 data. The gotten results show the efficiency of the GA with the technique of objective multiples, in the use of the optimization of the portfolio projects oil and gas investment.