An innovative bone anchor and methods for securing connective tissue, such as tendons, to bone are disclosed which permit a suture attachment which lies entirely beneath the cortical bone surface, and wherein the suturing material between the connective tissue and the bone anchor is oriented in a direction generally transverse to the longitudinal axis of the bone anchor, so that axial pull-out forces exerted on the bone anchor are minimized. The suture attachment to the bone anchor involves the looping of a substantial length of suturing material around a shaft of the anchor, thereby avoiding an eyelet connection which requires a knot and which concentrates stress on a very small portion of the suturing material. Thus, failure rates are greatly decreased over conventional techniques, and the inventive procedures are significantly easier to perform than conventional techniques.