Disclosed herein is a fastening structure which enables objects to be easily coupled to or removed from each other, and which enables the relative positions between the objects to be changed in the longitudinal position of zipper rails. The fastening structure includes a first zipper rail unit which is provided on a planar portion of a first object and has zipper rails arranged parallel to each other, and a second zipper rail unit which is provided on a planar portion of a second object and has zipper rails arranged parallel to each other. While the zipper rails of the first zipper rail unit are individually coupled to the corresponding zipper rails of the second zipper rail unit in a female-male engagement manner, relative positions between the first object and the second object can be changed in the longitudinal direction of the zipper rails.