A lower vehicle-body structure of an electric vehicle to increase resistance to lateral collision and also improve front-end collision load transfer performance of a tunnel. The lower vehicle-body structure of an electric vehicle includes a floor having a tunnel formed in a front part at a middle in a vehicle-width direction; and a floor cross member spanning, above the floor, between side sills disposed on opposite sides of the floor. Also, a rear end of the tunnel is located directly in front of the floor cross member, and reinforcing brackets are provided extending from the tunnel toward an upper end of the floor cross member and connected to the upper end of the floor cross member.