This paper takes a step beyond the enhancement debate, into the domain of genetic design. It explores what morality may have to say about the creation of “designer babies,” that is, about new human beings whose genetic code is either composed from scratch or produced through modification of a fertilized human egg cell or of a human clone. I pose this bewildering question in the context of an imagined future world in which genetic design is much more advanced in a way that makes it safe, predictable, and reasonably affordable. Such a future world may be less than a century away. I also impose three artificial limits on the discussion: I consider genetic design or redesign only in regard to a one-cell organism that, once designed, will grow and develop “naturally” without any further genetic interventions. I confine the discussion to the design of what clearly are human beings, that is, beings whose genetic endowments all lie within the parameters of the existing human gene pool. And I assume a social world much like ours, in which the creation of new human beings is initiated by human adults who generally love and care for the child and who bear a legal responsibility to safeguard the child’s basic interests until it reaches maturity. In such a world, I conclude, the law may be quite permissive with regard to the genetic design choices of parents.