Abstract: The installation for the parking of motor vehicles has one or several autonomous parking units (S), shaped as sectors of a circle on plan. Each such unit has its own mechanical conveyor system, comprising a car lift (10) with a vertical guide (11) located in the region of the apex of the sector, and a cantilevered vehicle platform (12) that pivots across the angle enclosed by the sector. Within the parking unit (S) the lift (10) provides the vertical and horizontal transport of the vehicles between a drive-in/drive-out level (1) and the parking spaces on parking levels below and/or above level (1); in addition, the lift (10) is equipped for the radial transfer of vehicles. Each parking unit (S) also has its own means for turning vehicles in situ, e.g. one or several turntables or rotary platforms (8) at the drive-in/drive-out level (1).