Houthi military spokesman Yahya Saria said the Houthis had fired missiles at the USS Truman aircraft carrier as it passed through the Red Sea.
Saria said the latest attack was the third in 24 hours.
The US had previously denied any successful attack on the USS Truman.
The US has continued to carry out airstrikes in Yemen, targeting the Houthis. The Yemeni rebel group, which controls the capital, Sanaa, and other areas in northwestern Yemen, has been firing missiles at Israel and Israeli-affiliated ships in the Red Sea since the start of the Gaza war.
