Abstract: Swivel hook units are usable to position a fabric cover, such as a swimming pool cover. A base portion of unitary construction can be attached to a fabric cover via a strap sewn to the cover. A hook member is attached to the base portion via a fastener device which permits rotational displacement of the hook member to accommodate adjustment during installation. A single rivet-type fastener device may be employed. A swivel hook unit may have a flat bottom for placement against a fabric cover without protrusions which would facilitate abrasion of the cover fabric during use. A flexible member to restrain the hook member from unintended disconnection from an eyebolt may include an end section contour configuration to resist lateral displacement of the flexible member relative to the hook member.