Life extension consists in slowing, halting, or even reversing human ageing. I will briefly review why many reputable geroscientists believe this is possible. This raises three areas of ethical concern. First, some people argue that extended life is not desirable, and that we are better off without it. I explain why these are mostly bad arguments, and why, for most people, the advantages of extended life will outweigh whatever disadvantages it may have. The second concern is that widespread use of life extension will cause overpopulation. The third concern is that life extension will be so expensive that not everyone will be able to get it, and this is unjust. These are legitimate concerns, but not insurmountable. After reviewing the ethical issues behind these concerns, I argue that we should develop life extension and make it available provided that we take steps to avoid overpopulation and to distribute life extension fairly.