A vehicle-body structure for an automobile, the vehicle-body structure comprising: a floor panel constituting a floor of an occupant space including a seat (FS, RS) on which a passenger is able to sit; a dash panel extending upward from a front portion of the floor panel and partitioning a vehicle front portion of the occupant space; a left-side suspension support member supporting a front suspension on a vehicle front side of the dash panel and on a vehicle left side; a right-side suspension support member supporting a front suspension on the vehicle front side of the dash panel and on a vehicle right side; a center frame disposed higher than and away from the floor panel at a vehicle-width-direction central portion of the occupant space and extending in a vehicle front-rear direction; a left-side front frame connected to a front portion of the center frame, extending to the left-side suspension support member, and fixed to the left-side suspension support member; a right-side front frame connected to the front portion of the center frame, extending to the right-side suspension support member, and fixed to the right-side suspension support member; and a connection member that connects the floor panel and at least one of a rear portion of the left-side front frame, a rear portion of the right-side front frame, and the front portion of the center frame, wherein the connection member includes a left-side connection member and a right-side connection member, wherein the left-side connection member extends at a tilt in front view and the right-side connection member extends at a tilt in front view, characterized in that the left-side connection member is positioned farther on the left side at its upper side and the right-side connection member is positioned farther on the right side at its upper side. a floor panel constituting a floor of an occupant space including a seat (FS, RS) on which a passenger is able to sit; a dash panel extending upward from a front portion of the floor panel and partitioning a vehicle front portion of the occupant space; a left-side suspension support member supporting a front suspension on a vehicle front side of the dash panel and on a vehicle left side; a right-side suspension support member supporting a front suspension on the vehicle front side of the dash panel and on a vehicle right side; a center frame disposed higher than and away from the floor panel at a vehicle-width-direction central portion of the occupant space and extending in a vehicle front-rear direction; a left-side front frame connected to a front portion of the center frame, extending to the left-side suspension support member, and fixed to the left-side suspension support member; a right-side front frame connected to the front portion of the center frame, extending to the right-side suspension support member, and fixed to the right-side suspension support member; and a connection member that connects the floor panel and at least one of a rear portion of the left-side front frame, a rear portion of the right-side front frame, and the front portion of the center frame, wherein the connection member includes a left-side connection member and a right-side connection member, wherein the left-side connection member extends at a tilt in front view and the right-side connection member extends at a tilt in front view, characterized in that the left-side connection member is positioned farther on the left side at its upper side and the right-side connection member is positioned farther on the right side at its upper side.