The variety of aquatic nonindigenous animals in marine habitats worldwide includes more than 16 planktonic Copepoda species. Acartia tonsa is a very successful one, distributed in many seas. Its invasion into European seas was analyzed before (Brylinski,1981), but from that time A.tonsa extended its range in European aquatic habitats. The author describes the history of the A.tonsa invasion into the Ponto-Caspian basin as well as some misleading earlier publications. Morphologic differences between A.clausi and A.tonsa, the neglect of which led to the wrong identification, were examined. The data on A.tonsa and total copepod dynamics in the Sevastopol Bay during the period of 1976~1996 and the same data on the Caspian Sea since 1981 were analyzed. The average size of A.tonsa in new habitats decreased, and its relative density in the Black and Caspian Seas gradually increased.