A large proportion of humankind today lives in avoidable poverty. This article examines whether affluent individuals and governments have moral duties to change this situation. It is maintained that an alternative to the familiar accounts of transdomestic distributive justice and personal ethics put forward by writers such as Peter Singer, John Rawls, and Thomas Pogge is required, since each of these accounts fails to reflect the full range of relevant considerations. A better account would give some weight to overall utility, the condition of the worst off, and individual responsibility. This approach provides robust support to global poverty alleviation.