An instrument kit serves for knotless fitting of a tissue to a bone. A pin-shaped anchor element has a suture connected to it. The suture has a loop portion formed into an annular body. An internal diameter of said annular body is chosen in that the pin-shaped anchor element can be moved along its longitudinal axis through said annular body. A length of a section of the suture between the anchor element and the annular body is chosen in that after said anchor element has moved through said annular body, a resulting new loop lies circumferentially and tightly around a strand-shaped tissue section to be fixed at said bone.