The Slavic genitive in this paper means the genitive of the object introduced exclusively by negated verbs. It is stated in the literature that it is regular in the dialects of Bosnia and Herzegovina, but nowhere is it consistent. On the other hand, unlike other Slavic languages, it is rare in the oldest historical sources, only to appear more and more later. Therefore, the aim of this work was: 1. find out under what conditions the Slavic genitive appears in contemporary BosnianHerzegovinian dialects and 2. shed light on the historical development of the Slavic genitive in Bosnia and Herzegovina. As the most probable theory that would explain the conditions, Timberlake's conditions, which are combined syntactic and semantic, were singled out because they are the most often used in the literature. However, as they did not prove to be functional in Bosnia and Herzegovina, which is evident from the simple statistics of the occurrence of the accusative and genitive under certain conditions, the cognitive-grammatical method was then resorted to, which with the help of transformation finally reveals that the genitive expresses generically, and the accusative objectively meaning. Timberlake's conditions did not prove to be functional even when it comes to historical documents, so semantic analysis was resorted to here as well. Since the methodology of historical semantics has not yet been established, conclusions are drawn on the basis of comparison of examples with the same words in this construction. Based on the material, it can be assumed that the genitive in the dialect probably exists, regardless of the fact that it is not found in the oldest historical sources – it is assumed because of the administrative style that strives for precision. This is the only way to explain the later, more frequent appearance of the Slavic genitive in the scripts from Krajina and its prevalence in contemporary dialects.