A stabilizer support structure includes a suspension member in which a side rail portion and a cross-member portion are formed integrally, the suspension member including an upper suspension member that includes a first fastening portion at which a bracket is fastened at an intersection portion between the side rail portion and the cross-member portion, the bracket supporting a rod-shaped stabilizer whose length direction is in the vehicle width direction, and a lower suspension member that forms a closed cross section portion with the upper suspension member; and a reinforcing member that is joined to both the upper suspension member and the lower suspension member inside the closed cross section portion at the intersection portion, the reinforcing member spanning between the upper suspension member and the lower suspension member in the vehicle vertical direction, and being fastened together with the bracket via the first fastening portion.