Friction-induced vibration often causes noise problems. When a plate-like object is rubbed by rubber, self-excited vibration is generated, which results in noise since plate vibration oscillates the air. For reducing vibration and noise, we investigate the characteristics of friction-induced vibration of a glass plate experimentally. Then, we study the effectiveness of a dynamic absorber mounted on the glass plate. The results demonstrate that the self-excited vibration is well suppressed by an absorber, and that absorbers with higher damping ratios are more effective than those with lower. The location of an absorber is also examined for reduction of vibration. Further, analytical study is performed to understand the mechanism of the vibration. We obtain an analytical model from observation and analyze the motion assuming bouncing vibration. Calculated results agree qualitatively with experimental ones.