DUBAI, United Arab Emirates — A U.S. destroyer shot down drones and a missile launched by Yemen's Houthi rebels toward it in the Red Sea, officials said early Wednesday, as the Indian navy released images of it fighting a fire aboard a container ship earlier targeted by the Houthis.

The assault Tuesday apparently targeted the USS Carney, an Arleigh Burke-class destroyer that has been involved in the American campaign against the rebels who have launched attacks over Israel's war against Hamas in the Gaza Strip.

The Houthi attack involved bomb-carrying drones and one anti-ship ballistic missile, the U.S. military's Central Command said.

The U.S. later launched an airstrike destroying three anti-ship missiles and three bomb-carrying drone boats, Central Command said.

Brig. Gen. Yahya Saree, a Houthi military spokesman, acknowledged the attack, but claimed its forces targeted two American warships, without elaborating.

The Houthis “will not stop until the aggression is stopped and the siege on the Palestinian people in the Gaza Strip is lifted,” Saree said.

Saree did not acknowledge the later U.S. airstrikes. The Houthis have not offered any assessment of the damage they've suffered in the American-led strikes that began in January, though it has said at least 22 of its fighters have been killed.

Since November, the rebels have repeatedly targeted ships in the Red Sea and surrounding waters over the Israel-Hamas war. Those vessels have included at least one with cargo bound for Iran, the Houthis’ main benefactor, and an aid ship later bound for Houthi-controlled territory.

Despite more than a month and a half of U.S.-led airstrikes, Houthi rebels have remained capable of launching significant attacks. They include the attack last month on a cargo ship carrying fertilizer, the Rubymar, which sank on Saturday after drifting for several days, and the downing of an American drone worth tens of millions of dollars.

Meanwhile, the Indian navy released footage of its sailors from the INS Kolkata fighting a fire aboard the MSC Sky II, which had been targeted by the Houthis in the Gulf of Aden on Monday. Smoke poured out of one container aboard the vessel, which also showed scorch marks from the impact from a Houthi missile.

The Mediterranean Shipping Co., a Switzerland-based firm, said the missile struck the ship as it was traveling from Singapore to Djibouti.

“The missile caused a small fire that has been extinguished while no crew were injured,” the company said.