A subframe structure includes: a pair of right and left vehicle body side frames disposed at side portions of a vehicle body; a pair of right and left longitudinal members extending along the pair of right and left vehicle body side frames at positions centrally spaced apart in a vehicle width direction for a predetermined distance from the vehicle body side frames; and a rear cross-member extending in the vehicle width direction between longitudinally rear portions of the pair of right and left longitudinal members. The rear cross-member has a first attachment portion, an extension portion, and a second attachment portion. The first attachment portion is attached to the longitudinal member, the extension portion extends from the first attachment portion in a laterally outward and upward direction, and the second attachment portion is attached to the vehicle body side frame at a laterally outer end portion of the extension portion.