Anastomosis device of a tubular structure, and method for mounting the device An apparatus (10, 200) for anastomosing a tubular structure (90) includes first and second members of a generally hollow open configuration. which each includes a rigid part (11, 13) and an elastic part (12), and a connecting member (15, 160) for interlocking the first and second members. according to a first embodiment, the connecting member (15) is integral with the rigid part (11) of the first member, and has longitudinal slits (37) forming tongues (38) therebetween of which at least one has a protrusion. outside (39) its free end. In an alternate embodiment of the first embodiment, the connecting member (15) has at least one circumferential groove (192) around the outer periphery, and the second rigid part (193) has a protrusion (194) arranged around the inner periphery. . According to a second embodiment (200), the connecting member (160) is arranged as a separate member of the first rigid part (11). the elastic parts 12 are essentially circular rings, and are made of a polymer, a biocompatible and / or biodegradable material. the rigid parts (11, 13) have an outer surface that is partially semicircular in cross section, wherein the diameter at a non-connector end (30, 40) is greater than or equal to the diameter at a connector end (31, 41). ), which ends at one end (36, 46). the first and second members are connected to each other so that a distance is formed between the elastic parts (12). a cavity (203) is formed between the rigid parts (13) and the connecting member and the tubular structure (90) when arranged in the device (200).<;b>;dispositivo para anastomose de uma estrutura tubular, e, metodo para montar o dispositivo<;d>; um dispositivo (10, 200) para anastomose de uma estrutura tubular (90) inclui um primeiro e um segundo membros de uma configuração aberta geralmente oca, que cada um inclui uma parte rígida (11, 13) e uma parte elástica (12), e um membro de conexão