An anchoring system includes a simply-structured device which permits a portion of a catheter tube or similar medical article to be easily anchored to a patient, desirably without the use of tape or needles and suturing. A unitary retainer desirably includes a base connected to a cover by way of a flexible hinge. The retainer is attached to a flexible anchor pad including an adhesive bottom surface, which can be attached to the patient's skin. A catheter is secured to a fitting, which in turn mounts to the retainer. Mounting the fitting to the retainer can be accomplished by inserting posts of the retainer through holes of the fitting, or by mounting the fitting within a channel defined by mounting structures integral to the retainer. The cover is then positioned over the base, by bending the flexible hinge, and latched to the base. Several embodiments of the latching mechanism are disclosed. In one form, the latching mechanism includes one or more posts on the base which can be releasably locked into corresponding slotted holes in the cover.