With the increase of bridge span, the problem of wind-induced vibration becomes more and more prominent. The development of simple and effective wind-induced vibration control measures is of great significance to ensure the safety of bridge structure. The section of the bridge is simplified as a rectangle and the suppression of VIV of the rectangular section by suction with double holes on the side surface is studied by numerical simulation. The results show that the inspiratory flow rate is the decisive factor affecting the suppression effect of VIV. When the dimensionless suction flow rate Qs=0.01, the surface suction has the best suppression effect on VIV. The vibration amplitude of the rectangular section is reduced by 99.73%, the root mean square value of lift coefficient is reduced by 90.73%, and the average drag coefficient is reduced by 32.55%. When Qs＞0.01, the vibration amplitude of the rectangular section is still effectively suppressed. However, due to the excessive inspiratory flow, the thickness of the boundary layer on the side surface becomes smaller, and the shear effect in the boundary layer becomes stronger, which leads to the enhancement of the wake vortex on the leewards, and finally leads to the increase of the lift and drag coefficient of the rectangular section.