The invention relates to a cerclage device in which the following components form a single part, namely: a main resilient body (1) and a closure tongue (2) including one end (20) and a plurality of blunt longitudinal teeth (8) that are inserted through a locking aperture (5) provided at the end (11) of the main body opposite to the closure tongue, such that the aforementioned main body essentially forms a ring encircling a portion of the intestinal rectum. The main body (1) is a hollow section or tube having a laminar side wall with perforations (3) that increase the elasticity thereof. Moreover, the end (10) of the body from which the closure tongue extends is adapted to be inserted through the opposite end (11) of the main body and when the closure tongue passes through the locking aperture (5) the tongue lies parallel to a portion of the thick wall (12) of the body (1). In addition, the main body is provided with button-shaped protuberances (7) that are fastened in respective holes (9) provided in the teeth (8) of the closure tongue, such that said closure tongue can be fixed against a portion of the thick wall (12) of the main body.