The article deals with the proposed new law on personal names in Sweden, as well as with some important features on the recent giving and usage of personal names. In the first part of the article, the most important issues in the new proposal are presented, and their similarities or discrepancies with the present law are discussed. In the second part, some new baby names and fashionable names types of both first names and family names are studied. The author argues that, even though there are many examples of newly coined names (or unique spellings), the structure of the Swedish naming system is fairly solid, and poses some questions on what might happen under the future law.