A semiconductor device having conductive bumps and a fabrication method thereof are provided. The fabrication method mainly including steps of: providing a semiconductor substrate having a solder pad and a passivation layer formed thereon with a portion of the solder pads exposed from the passivation layer; disposing a first metal layer on the solder pad and a portion of the passivation layer around the solder pad; disposing a covering layer on the first metal layer and the passivation layer, and forming an aperture in the covering layer to expose a portion of the first metal layer, wherein a center of the aperture is deviated from that of the solder pad; deposing a metal pillar on the portion of the first metal layer; and deposing a solder material on an outer surface of the metal pillar for providing a better buffering effect.