The Houthis claimed the February 18 attack against the Rubymar, a cargo ship flying a Belizean flag and operated by a Lebanese firm, which transported combustible fertilizers.
The US Central Command (CENTCOM) confirmed late Saturday that the vessel "sank in the Red Sea after being struck" by an anti-ship ballistic missile last month.
"The approximately 21,000 metric tons of ammonium phosphate sulfate fertilizer that the vessel was carrying presents an environmental risk in the Red Sea," CENTCOM said in a statement.
"As the ship sinks it also presents a subsurface impact risk to other ships transiting the busy shipping lanes of the waterway," it added.
Yemen's government also said earlier Saturday that the ship had sunk.
Container shipping through the Red Sea dropped by around one-third in the first week of 2024 compared with the same period last year as Houthi attacks caused shipping companies to avoid the Suez Canal, according to the International Monetary Fund.
The vessel had departed the United Arab Emirates and was bound for the Bulgarian port of Varna.
Its crew abandoned the ship and evacuated to safety after it was hit by two missiles.
Several other organizations have also expressed concern about the environmental threat posed by the tanker.
Fuel oil appeared to be leaking from the vessel in satellite images shared by Maxar Technologies and published by AFP.
The TankerTrackers website said the sinking would "cause an environmental catastrophe in the (Yemeni) territorial waters and in the Red Sea."
Since November, the Houthis have been carrying out attacks on ships linked to Israel in the Red Sea and the Gulf of Aden, saying they are acting in solidarity with Palestinians in the Gaza Strip.
Israel has waged a war against Hamas in Gaza since the Palestinian militant group's unprecedented attack on Israel on October 7.
In response to the Houthi attacks, Israel's main ally the United States established a multinational force in December to protect maritime traffic in the strategic waterway.
Since January, Washington and its allies have launched numerous strikes against Houthi targets in Yemen, where the Iran-backed rebels have fought forces loyal to the internationally recognised government since 2014.