Abstract: The invention relates to a double-clutch transmission element for a hybrid pull chain of a motor vehicle, a method of mounting same and a motor vehicle equipped with one such element. The inventive element (25) consists of a motion input shaft (37), a motion output shaft (39), an electrical machine (31) comprising a stator (61) and a rotor (63), a first clutch (33) providing a connection between the input shaft (37) and an intermediate member (73), and a second clutch (35) providing a connection between the intermediate member (73) and the output shaft (39), said intermediate member (73) being coupled in rotation to the rotor (63). The transmission element is also equipped with a casing comprising a first half-shell (51) which supports the input shaft (37) in rotation and a second half-shell (52) which supports the output shaft (39) in rotation, said two half-shells (51, 52) defining a housing in which the two clutches (33, 35) and the electrical machine (31) are mounted in a co-axial manner.