A method and device for knotless fixation of tissue. A swivel anchor having a rotatable implant is used to capture suture for surgical tissue repair without requiring suture knots. The implant may be provided with a conical metal tip which is self-punching and avoids the need for pre-drilling a hole in bone. The implant includes a closed aperture to allow free sliding of a suture strand. The swivel anchor is secured in a hole in bone by advancing a fixation device, such as a cannulated interference screw, over the body of the implant.