A self-retaining suture is disclosed having particular application for treating obstructive sleep apnea and use thereof. The suture includes rising an elongated suture body having a periphery and first and second tissue-penetrating ends each with a bi-curve needle, and a plurality of first retainers on a first segment and oriented to the first end, and a plurality of second retainers a second segment and oriented to the second end, and a retainer- free transition segment disposed between the pluralities of first and second retainers.