An exemplary sleeve bearing system includes a bearing housing, a sleeve bearing and a resilient washer. The bearing housing defines a receiving hole therein. The receiving hole has a first diameter. The sleeve bearing has a second diameter which is slightly less than the first diameter, and the sleeve bearing is received in the receiving hole of the bearing housing. The resilient washer is received in the receiving hole of the bearing housing and is fitted around the sleeve bearing. The resilient washer is sandwiched between the bearing housing and the sleeve bearing and resiliently abuts an outer circumferential surface of the sleeve bearing to thereby mount the sleeve bearing in the receiving hole of the bearing housing.