Distributive justice is one of the central questions of contemporary moral and political philosophy. Discussions on this topic are often presented as a confrontation between two groups of thinkers: libertarians and luck egalitarians. The former emphasize the dependence of the existing distribution on the individual choice and personal responsibility of people, and therefore are skeptical about various redistribution programs. The latter, on the contrary, emphasize the influence of morally arbitrary luck on the economic situation of people, and therefore welcome redistributive (...) measures to compensate for this brute luck. Left-libertarian claims to reconcile these two types of moral considerations. The classical left-libertarian point of view seeks to offset the influence of brute luck through an egalitarian distribution of the benefits of owning natural resources that are independent of anyone’s choice and responsibility. However, this position does not sufficiently take into account the influence of other factors of brute luck and, in particular, genetic endowments on the distribution of economic wealth. This article discusses three approaches that allow left-libertarians to take into account the factor of genetic luck in interpersonal distribution. First, it is Hillel Steiner’s proposal to attribute genetic information to natural resources, the benefits of which are subject to egalitarian redistribution. Second, it is the concept of equal opportunity for welfare by Peter Vallentyne, Michael Otsuka and Eric Roark. Third, it is the universal dominance criterion of Philippe Van Parijs and Kasper Ossenblok. The first two approaches face a number of moral and practical difficulties, but the third approach is able to overcome them. Thus, the universal dominance criterion is the most promising way to reconcile left-libertarianism and justice in the distribution of genetic endowments. (shrink)