A knotless self-cinching suture construct device includes a shuttling suture, a continuous loop and a self-cinching suture member. The shuttling suture is configured for insertion into a passage hole in injured soft tissue, such as a torn or damaged meniscus in the knee. The shuttling suture and continuous loop are passed entirely through the passage hole in the tissue, and the self-cinching suture member is inserted through the continuous loop to form a hitch using the continuous loop around the tissue. The self-cinching suture member is then pulled tight, allowing a first strand to slide through both the hitched continuous loop and a self-cinching sleeve on the suture member. When tension is applied, the sleeve tightens around the strand much like a finger trap, preventing inadvertent release of the applied suture tension. The suture construct is configured for use through a transosseous tunnel with a suture button in some embodiments.