The invention relates to a remote-control device (14) which comprises a portable remote control (10) and a wall mounting (12), the portable remote control (10) comprising a housing (16) having a rear surface (40) and a front surface (42), located on either side of and at a distance from a median plane (M) of the housing (16), the housing (16) including a recess (48) open at least on the rear surface (40), the wall mounting (12) having a surface (28) for bearing against a wall along a bearing plane (P) and a head (24) projecting from the bearing plane (P), the head (24) penetrating into the recess (48) in an anchoring position of the portable remote control (10) so as to pass through the median plane (M) of the housing (16). The recess (48) is shaped so as to match the shape of the head (24). The head (24) projects in an upward oblique direction (D) relative to the bearing plane (P), and has at least one first oblique surface (34, 36) which, in anchoring position, is in surface contact with at least one first oblique wall (48.1, 48.2) of the recess (48). The recess (48) is preferably open on the front surface (42) of the housing (16) and forms a passage between the rear surface (40) and the front surface (42) of the housing (16), which thus forms an eyelet (46) defining the recess (48).