Abstract: A dynamic selection rule was developed that maximizes the annual genetic response while constraining the rate of inbreeding per year to a predefined value in a population with overlapping generations and different number of age class between sire and dam. This rule accounts for the animals in population with overlapping population should be divided into sex-age classes, and limits the increase of mean relationship of individuals in parent population, so, the mean rate of inbreeding of new progenies is controlled. Inputs for the rule are the BLUP estimated breeding values, the relationship matrix of all animals, and long term contributions of sex-age classes. Outputs are optimum number of animals to be selected and optimum number of offspring for each individual selected. Stochastic simulations of pig nucleus schemes showed that predefined rates of inbreeding were actually achieved. The dynamic selection rule obtained up to 10% more genetic gain than truncation selection at the same rates of inbreeding.