A multi-valve for a cooling system of a motor vehicle includes: a valve housing, which has a plurality of inlets and a plurality of outlets and delimits a cylindrical valve chamber, the plurality of inlets and the plurality of outlets opening into the cylindrical valve chamber; and a valve unit, which is arranged inside the cylindrical valve chamber of the valve housing and is rotatable about an axis of rotation between a plurality of switching positions by an actuator. Depending on a switching position of the valve unit, different inlets of the plurality of inlets are fluidically connectable to different outlets of the plurality of outlets. The valve unit has a plurality of fluid channel structures which are offset from one another in a circumferential direction. Each switching position of the plurality of switching positions is respectively assigned a fluid channel structure of the plurality of fluid channel structures.