A front vehicle-body structure is provided that allows for lower deceleration for occupants by facilitating breakage of frame members in the event of an oblique collision. Embodiments include a suspension housing formed with a suspension damper supporting portion, an upper arm supporting portion, and a lower arm supporting portion. A first frame connects an upper portion of the suspension housing and an upper portion on a vehicle-width-direction inner side of a dash panel, a second frame connects the upper portion of the suspension housing and an upper portion of a hinge pillar, and a third frame connects a lower portion of the suspension housing and a lower portion on the vehicle-width-direction inner side of the dash panel. In the event of an oblique collision, the first frame and the second frame break inward in vehicle plan view, and the third frame breaks in a Z-shape in vehicle plan view.