The two pilots of the plane survived, one of them was lightly injured. The fighter plane was of the type F/A-18 and had just taken off from the aircraft carrier USS Harry S Truman when an accompanying cruise missile opened fire.
US forces in the region carried out attacks against Iran-backed Houthi movement in Yemen's capital Sanaa on Saturday. The airstrikes were directed, among other things, against missile depots and a command center, according to the military.
Several drones and a missile launched from Yemen were also shot down in connection with the operation.
The American attack took place after a missile launched from Yemen on Saturday hit the Tel Aviv area in central Israel. Several people are reported to have been injured in the attack, which the Houthi movement has taken responsibility for.