The Houthis have argued that their attacks on ship linked to Israel are an act of solidarity with the Palestinians in Gaza.
“Let our message now be clear: we call for the immediate end of these illegal attacks and release of unlawfully detained vessels and crews,” said the statement released by the White House on Wednesday.
“The Houthis will bear the responsibility of the consequences should they continue to threaten lives, the global economy and free flow of commerce in the region’s critical waterways”.
The United Kingdom, Australia, Canada, Germany and Japan are among the 12 signatories.
The only country in the Middle East to sign the statement was Bahrain, which has a strained relationship with Iran, which is aligned with the Houthis.
The statement comes after several reports that US President Joe Biden’s administration is considering direct strikes on the rebels if the attacks continue.
The Houthis have said that their attacks in the busy waterway are an act of solidarity with the Palestinians in Gaza and that they are targeting ships with links to Israel.
The US has sent an aircraft carrier, the USS Dwight D Eisenhower, to the area and earlier announced a coalition of countries to protect movement in the Red Sea, through which 12 percent of global trade passes.
Shipping prices
Earlier on Wednesday, the Houthis claimed responsibility for a previous attack on a merchant vessel in the Red Sea.
“The naval forces of the Yemeni armed forces carried out an operation targeting the ship CMA CGM TAGE which was travelling towards the ports of occupied Palestine,” the Houthis said on X.
The French operator CMA CGM said that its container ship was unharmed and suffered “no incident”.
A CMA CGM spokesperson said the ship was headed for Egypt.
The Houthi attacks in recent weeks have mainly been concentrated on the Bab al-Mandeb Strait.
On Tuesday, Danish shipping giant Maersk extended a suspension of services through the waterway and the Gulf of Aden, south Yemen, “until further notice”.