A connector for attaching a connective tissue to bone includes a sling for supporting and holding the connective tissue. A trap generally cooperates with the sling. The trap includes an anchor end and a sling end and a generally tubular section configured to decrease in diameter upon application of a longitudinal tensile force. The trap is dimensioned to fit within a tunnel through bone so that the connective tissue emerges from one end of the tunnel and so that an interference screw can be inserted into the tubular section at the anchor end of the trap at the other end of the tunnel whereby a pulling force exerted on the sling causes the generally tubular section of the trap to constrict more tightly about the interference screw to prevent slippage and to deter withdrawal of the trap from the tunnel.