A front vehicle-body structure comprises a crash can fixed to a front end of a front frame. The crash can comprises an upper face portion, a lower face portion, a pair of side face portions, corner portions respectively positioned between the side face portion and the upper face portion and between the side face portion and the lower face portion, a first fragile portion provided at each of the corner portions, and a second fragile portion provided at each of the side face portions. The first fragile portion is configured to be deformed before the second fragile portion when a collision load applied toward a vehicle rearward side is inputted to an extension portion of a bumper beam. The second fragile portion is configured to be deformed before the front frame when the collision load applied toward the vehicle rearward side is inputted to the extension portion.