This paper presents what luck egalitarianism, one of the major frameworks in contemporary political philosophy, has to say on the questions of what children are owed and who should pay for the children in a society. Luck egalitarianism seems to imply firstly, that children are owed equal life prospects to everybody else, and secondly, that parents should pay. However, it seems unacceptable to make parents pay the full costs of egalitarian justice when they themselves have been disadvantaged in an unequal society. In non-ideal theory, the luck egalitarian should translate this insight into some joint responsibility for children.