A rear vehicle-body structure absorbs an impact while also accommodating an elongated battery installation and an increase in an amount of batteries installed. The rear vehicle-body structure includes a rear side frame which extends in a vehicle front-rear direction in a vehicle rear portion, a rear-side battery frame which extends in a vehicle width direction in vehicle rear of a battery and in vehicle front of the rear side frame and protects the battery, and a frame bracket which couples the rear side frame with the rear-side battery frame.