A front vehicle-body structure for a vehicle (1) includes: side frames (8) of a suspension subframe; a cross member (10) connecting front end portions of the side frames in the vehicle width direction; a front beam member (4); and a connecting member (6) connecting a front end portion of each side frame to the front beam member, wherein, at a connecting portion (8b) between the front end portion of the side frame and the cross member, a high-rigidity portion (8e) having a higher rigidity than other portions of the side frame is formed, and the front beam member has a side end portion (4b) extending on a vehicle-width-direction outer side relative to a connecting position with the connecting member, and a protrusion portion (44) protruding from the side end portion toward a vehicle rear side, the protrusion portion (44) being configured to come into contact with the high-rigidity portion (8e) from the vehicle-width-direction outer side when a collision load from a vehicle front side is input to the side end portion.