Jasmine (taxonomic name Jasminum /ˈjaesmɨnəm/) ˈjæsmɨnəm is a genus of shrubs and vines in the olive (Family). Oleaceae it contains around 200 species native to tropical and warm temperate regions of The, Eurasia australasia And. oceaniaasmine (taxonomic name Jasminum /ˈjaesmɨnəm/) ˈjæsmɨnəm is a genus of shrubs and vines in the olive (Family). oleaceae