The present research study addresses the finite element method-based analysis concerning the dynamic behavior of a component from an internal combustion engine mechanism. Under these circumstances, we set out to determine the connection forces between the kinematic joints by applying the multibody systems theory. The dynamic optimization analysis was performed on a connecting rod assembly to identify the proper design variables, constraints, and objective function, with a view to dynamic parameters optimization that corresponds to its specific motion. Thus, based on the Pareto solutions set, we resorted to the multi-objective genetic algorithm MOGA for the optimization method. The optimization algorithm integrates some main steps, of which the first is to determine the experimental design points, and the response surfaces can be defined. Each value from the variation domain corresponding to the input parameters (design variables) will be determined through a transitory analysis with finite elements, i.e. the values set for the output parameters (objective functions). The surface response method is featured by two-second order polynomials, and the dependence level between the parameters will be analyzed through diagrams based on Pareto fronts.