This invention is an improved Luer lock connector having a pair of tapered engagement surfaces (32, 50) between the hub (24) and one of the two components of the Luer connector. The tapered engagement surfaces (32, 50) provide a gradual frictional engagement when tightening the hub (24) to minimize inadvertent reverse rotation and loosening of the hub (24). The tubular body is also provided with a plurality of axially extending splines (94) for engagement with a plurality of inwardly radially directed ribs (52) on the hub (24) to positively rotationally lock the two components when the hub (24) is in a proximal position. A small circumferential ridge (106) provides tactile feedback to an operator to indicate when the hub (24) is in a positive rotationally interlocked relationship with the tubular body. The hub (24) may be completely removed in a proximal direction from the tubular body and retracted proximally along a supply line to remove it from the connector site.