Because alleles associated with altruistic behaviors can increase in frequency when altruists increase the fitness of closely related individuals, it has been assumed that inbreeding presents the most favorable conditions for the evolution of altruism. Using a family-structured model of kin selection, we varied the proportion of the population mating with sibs and the proportion mating randomly to investigate the hypothesis that inbreeding facilitates the evolution of altruistic behaviors. We partitioned total gene frequency change of the altruistic allele into two components: (1) the change in gene frequency owing to selection within families, or individual selection; this component of selection is always negative and selects against altruistic social behaviors; and (2) the change in gene frequency owing to fitness differences between families, or group selection; this component of selection favors the evolution of altruistic social behaviors. Because inbreeding increases the component of group selection at the expense of individual selection by increasing the between-group variation, it facilitates the spread of the altruistic allele. Computer simulations show that even small amounts of inbreeding (within-sibship mating) significantly increase the rate of gene frequency change.