The alleged attack on the aircraft carrier USS Harry S Truman, the second in a day, is said to be a response to Saturday's American air strikes and is said to have been carried out with robots and drones, according to a spokesperson for the Yemeni movement.
The US military has not commented on the reports, but an American defense source stated earlier on Sunday that several drones and a robot were shot down at a safe distance from the American ships.
Over 50 people are reported to have been killed and around 100 injured in American attacks on Yemen on Saturday, according to health authorities controlled by the Huthi movement. According to the White House, several Huthi leaders were killed.
The US has promised to continue striking the Huthi movement as long as they threaten important shipping lanes off Yemen's coast, while the Iran-backed group has promised to escalate with attacks on both American and Israeli ships.
The Huthi movement has, since the start of the Gaza war, shaken global trade with a long series of attacks on civilian shipping.
Since the ceasefire in the war began in January, however, no ships have been attacked. But the movement recently announced that it intends to start attacking Israeli ships again due to Israel's blockade of aid to Gaza.