Changing the human genome already makes it possible to stop many hereditary diseases, but already there are many questions of both a legal and ethical nature related to the limits of what is allowed when changing the human genome. With the advent of technologies for editing the human genome, CRISPR-Cas9, TALENs, and ZFNs, issues of compliance with the bioethical rights of persons who have undergone genome modification have entered a new stage of discussion about the limits of what is allowed when changing the human genome and embryo. The article is devoted to the analysis of the legal regulation of interference in the embryo genome in the USA and European countries, as well as the identification of mechanisms for protecting the bioethical dignity of the embryo. In the current reality, the lack of global legal and ethical standards can lead to the creation of “designer” children, as well as increase social inequality in the world. Humanity should take a closer look at the issues of legal insecurity of the embryo, related to the implementation of the constitutional principle of personal dignity when interfering with the embryo's genome and editing it.