The paper gives a new computational method for the determination of the geometrical dimensions of the helical gears, with addendum modification, based on the model of the relative velocities equalization at the beginning and at the ending of the meshing. In this model the relative velocities between the teeth flanks during the meshing are used to increase the lifetime of the gears by their equalization at the points where the differences are highest. Then, the equalized relative velocities are minimized, using a genetic algorithm from the MATLAB computing environment.Index Terms-helical gears, relative velocities, genetic algorithm, lifetime.