A releasable and separable magnetic clasp for a body-part encircling article of jewelry, such as a bracelet or necklace, or the article of jewelry itself comprising such clasp, the main body of the article being of semi-rigid, non-articulated construction and having an inherently curved configuration, and composed of one or more cables, braids or bundled wires or fibers. The clasp comprises a pair of ferrules joined to the main body. The ferrules are axially curved to match the inherent curve of the main body. A curved insertion member having a first magnet extends from one of the ferrules and is received by a bore present in the other ferrule, and a second magnet or magnetically receptive metal member is disposed within the bore, such that with the two ferrules joined the first magnet abuts the second magnet or metal member in order to maintain the clasp in the closed configuration.