Jasmine Long Flowering & Fragrant. The jasmine plant is known for its beauty and fragrant odor that fills the spring, summer and early autumn air. The jasmine vine or shrub belongs to the olive family. It is native to areas with warm and tropical climates in Africa, Asia, Europe and Australia. Jasminum officinale, or common white jasmine, is the most widely known species in the jasmine plant family. White jasmine is also called poet’s jasmine.