The invention relates to an auxiliary supporting vibration suppression device for milling a thin-wall curved-surface part. The auxiliary supporting vibration suppression device comprises a base, base bolts, a supporting plate, an adjusting screw rod, an adjusting block, a supporting bolt and a rubber head. The base is fixed to the two sides of the thin-wall curved-surface part through the base bolts, the bottom of the adjusting screw rod is placed in a reserved groove of the base, the adjusting block penetrates through the supporting plate and the adjusting screw rod, vertical movement of the adjusting block is controlled by screwing the adjusting screw rod, the supporting bolt penetrates into a horizontal threaded hole of the adjusting block, the rubber head sleeves the head of the supporting bolt, and the supporting bolt is screwed to be adjusted to abut against the surface of the thin-wall curved-surface part and is tightened and fixed. According to the device, the rigidity of the thin-wall curved-surface part is improved, and the thin-wall curved-surface part is not prone to deformation during milling, so that the milling vibration suppression effect is achieved.