A tube fitting anchoring device is provided to securely anchor a catheter and fluid supply tube interconnection to a patient's skin. The anchoring device comprises a retainer which is configured to receive a tube fitting in a variety of positions. The tube fitting interconnects the catheter and the fluid supply tube. The anchoring system additionally includes a flexible, adhesive anchor pad which supports the retainer. In one embodiment, the tube fitting includes two parallel generally tubular segments interconnected by a transverse member. The retainer also includes at least two parallel channels interconnected by a transverse channel. The channels are sized to receive the generally tubular segments of the tube fitting in a snap-fit manner, with the transverse channel also receiving the transverse member of the tube fitting in a snap-fit fashion. In this manner, the retainer holds the generally tubular segments of the tube fitting within the channel and prevents longitudinal, transverse and vertical movement of the tube fitting tubular segments.