A rear vehicle-body structure of a vehicle comprises a wheel house provided at a side face portion of a vehicle-body rear portion, a side frame extending in a vehicle longitudinal direction on an inward side, in a vehicle width direction, of the wheel house, a suspension comprising a damper provided to extend in a vehicle vertical direction for damping a vertical load inputted from a wheel thereto and a bump stopper provided on a shaft center of the damper, and a suspension housing including a support face portion for supporting the damper and provided to connect the side frame and the wheel house, wherein the suspension housing comprises a peripheral wall portion which is provided to extend downward from the support face portion and enclose the bump stopper at least partially.