A device for knotless securing of surgical sutures has a component such as a tissue embeddable anchor, carrying a mechanism that permits a suture to be pulled through the device in one direction but prevents travel in the opposite direction. The suture passes through the device between an entry and exit. A movable brake in the anchor or other component interacts with the suture. Tension on the suture in one direction pinches the suture by pulling the brake against the suture at a seating surface, preventing movement of the suture in that direction. Tension in the other direction lifts the brake and frees the suture.