Vehicle-body lower face structure

A vehicle-body lower face structure, comprising:

• a torsion beam type of rear suspension comprising a pair of right-and-left trailing arms and a torsion beam connecting the trailing arms;
• a floor under cover for airflow straightening attached to a portion of a vehicle body in front of the rear suspension so as to cover a vehicle-body lower face;
• and
• a cover-support bracket provided to be laid between a rear portion of a side sill and an inward side, in a vehicle width direction, of an arm pivot of the trail arm,
• wherein a portion of said floor under cover which is positioned in the vicinity of a rear end of the floor under cover is engaged with said cover-support bracket such that a rear end portion of the floor under cover is extended from an inward-side edge of a front portion of a rear wheel house to an inside of the rear wheel house.