A transmission housing (2) of the type including two housing elements (9) that can be positioned to press against each other and that in the assembled-together state define: a cavity (13); a shaft (6) projecting at least in part from the housing (2); a motion transmission mechanism (30) for transmitting motion to said shaft (6), the motion transmission mechanism (30) being housed at least in part inside the cavity (13) of the housing (2); and sealing means (15) arranged in the zone where the housing elements (9) are pressed together and referred to as a join plane (10), the sealing means (15) surrounding said cavity (13).The housing (2) comprises means (17) for connecting the housing elements (9) together by snap-fastening in order to hold the housing elements (9) pressed against each other and the sealing means (15) comprise adhesive connection means (16) for connecting said housing elements (9) together.