An automatic bundle-tying tool has a compact housing with a pair of curved pincer-shaped jaws, one of which pivots outward to accommodate a bundle of wires or similar elongated objects, and then pivots inward to abut the other, fixed jaw. Plastic tying tape drawn from a storage spool is fed around the tape guide groove formed on the internal surface of each of the mating jaws, encircling the bundle. A pair of thin tapered anvils clamp the overlapped tape against the tip of an ultrasonic welding transducer, and a reverse feed mechanism draws the tape tight around the bundle while slack tape is re-wound on the storage spool by a resilient spring biased spool hub. After ultrasonic welding, automatic spring-driven linkages unclamp and withdraw the anvils, sever the tied bundle from the tape supply and open the movable jaw to release the tied bundle. A preferred embodiment is lightweight, portable and easy to operate.