Jasmine Name Meaning. The meaning of Jasmine is “A Flower in the Olive Family”. Keep in mind that many names may have different meanings in other countries and languages, so be careful that the name that you choose doesn’t mean something bad or unpleasant.orm of: Yasmin. The meaning of the name “Jasmine” is: “A Flower in the Olive Family”. .adslot_1 { width: 336px; height: 280px; } @media (max-width:350px) { .adslot_1 { width: 300px; height: 250px; } }.