"Vine-ripened" or "tree-ripened" is a term applied to fruit or vegetables that have ripened on the vine or tree and were then picked when ripe. They often taste better because their flavor and sugars have developed naturally but they can be delicate to the touch and too fragile to ship. Alternatively, fruits shipped long distances may be picked while still unripe, and later treated with ethylene gas to "ripen" and soften them prior to being sold.
Example of Vine-Ripened/Tree-Ripened:
After years of becoming a food tester, one could easily distinguish between tomatoes that are vine ripened and the ones that are picked while they are still green. Some says that vine ripened tomatoes has a stronger aroma and a bolder flavor.