A knotless self-cinching suture construct device 10 includes a continuous loop 22 and self-cinching suture member 32. The device is configured for insertion into passage hole in injured soft tissue, such as a torn or damaged meniscus in the knee. The continuous loop 22 is passed entirely through the passage hole in the tissue, and the self-cinching suture member 32 is inserted through the continuous loop 22 to form a hitch using the continuous loop 22 around the tissue. The self-cinching suture member 32 is then pulled tight, allowing a first strand to slide through both the hitched continuous loop 22 and a self-cinching sleeve 40 on the suture member 32. When tension is applied, the sleeve 40 tightens around the strand much like a finger trap, preventing inadvertent release of the applied suture tension. The suture construct 10 is configured for use through a transosseous tunnel with a suture button in some embodiments.