Glyceria striata (Lam.) Hitchc., a species native to North America, was found as an alien species on several localities in the Hostýnské vrchy Mts (eastern Moravia). It grows there on disturbed sites in artificial, usually spruce and alder woods at an altitude of 340–550 m a.s.l. The way of introduction of G. striata to this area is uncertain. However, it is present as an alien in many European countries. A detailed synonymy and description of species is given. Taxonomy and systematics are shortly discussed and determination key within the Czech species of the genus Glyceria is also given. Notes on the distribution and the history of naturalization of the species in Europe as well as notes on its ecology are included.