A hydraulic unit support structure includes a bracket (40) having a slot (50) and seat surfaces formed around the slot, and a shock-absorbing member (70) attached to the hydraulic unit (10). The shock-absorbing member (70) is fitted into the slot (50) of the bracket so that the hydraulic unit is supported on the bracket by the shock-absorbing member. The shock-absorbing member has a small-diameter portion (74) inserted into the slot of the bracket and large-diameter portions (76, 78) making contact with the seat surfaces of the bracket around the slot. The slot of the bracket has an insertion-fit region (52) formed at one end of the slot in the long-axis direction and a reduced width region formed at a position spaced apart from the one end in the long-axis direction by a distance substantially equal to the diameter of the small-diameter portion.