The article describes intra- and extra-linguistic factors that influence the stability of the onymic space of the Ukrainian language. Intra-linguistic factors are the creation of a certain proper name according to its inherent derivational model; the correspondence of a particular onymic to the formed linguistic norm. Extra-linguistic factors are the level of linguistic, spiritual and political culture of society and its national consciousness. This influence is most pronounced on two classes of onymic vocabulary — anthroponyms and toponyms, as well as on toponymic derivatives — the names of the inhabitants of the corresponding settlement (katoikonyms) and derived adjectives (adjectonyms). It is specially noted of the three-component anthroponymic formula (first name, patronymic, surname) in modern Ukrainian official speech; the elimination of variation in the declension of Ukrainian surnames of the masculine gender with the possessive suffix -iB. It is shown that main means of creating katoikonyms in the Ukrainian language are the suffixes -u-i (plural), -eub, -K-a (singular). Possible functioning of parallel catoikonymic forms with suffixes -a-i (-eab, -K-a) h -aH-H / -hh-h (-aH-HH, -aH-K-a / -hh-hh, -HH-K-a). The paper deals with problem of establishing derivational models of adjectonyms and their normalization. The author considers that it is necessary to carefully study the historical patterns of the creation and use of adjectonyms in the Ukrainian language, as well as to take into account local traditions. The destructive impact on the Ukrainian oikonymic space of numerous unmotivated ideological renamings of the Soviet era and artificial formations with a Russian-language structure is analyzed. The author shows that it is necessary to cleanse the Ukrainian oikonomika and urbanonymika of such names.