To solve both axial and rotational constraint problems in turbochargers with rolling element bearings (REBs), a REB sleeve or outer race is mounted to the bearing housing in a way that is not axially and radially rigid, thus allowing for oil damping films both radially and axially. At the same time, the REB sleeve or outer race is held so that the REB sleeve or outer race does not rotate relative to the bearing housing. This dual purpose is achieved using an anti-rotation ring and a damping ring. The anti-rotation ring includes at least one anti-rotation feature for engaging the bearing housing and at least one anti-rotation feature for engaging the REB cartridge, preventing rotation of the REB cartridge sleeve or outer race. The damping ring axially locates the REB cartridge and dampens axial movement and cushions axial thrust.