Oman explained in a statement by the Ministry of Foreign Affairs that "following the Sultanate's recent discussions and contacts with the United States and relevant authorities in Sana'a, Yemen, with the aim of achieving de-escalation, efforts have resulted in an agreement on a ceasefire between the two sides."
She added, "In the future, neither side will target the other, including US ships in the Red Sea and Bab al-Mandab, ensuring freedom of navigation and the smooth flow of international commercial shipping."
The statement did not address the Houthi attacks on Israel.
The head of the Houthi Supreme Revolutionary Committee, Mohammed Ali al-Houthi, said that the US halt to its "aggression" against Yemen "will first be assessed on the ground."
He added in a post on the X platform: "The operations in Yemen were and continue to be a support for Gaza to stop the aggression," noting that the ceasefire with the United States does not include a halt to the group's attacks on Israel.
Earlier on Tuesday, US President Donald Trump announced that the United States would stop bombing the Houthis, saying the group had agreed to stop disrupting important shipping lanes in the Middle East.
"The Houthis say they're not going to blow up ships anymore, and that's the goal of what we've been doing," Trump told reporters at the White House while hosting Canadian Prime Minister Mark Carney. "We will respect that and stop bombing the Houthis immediately."
"We received very positive news last night," he added. "The Houthis announced, or at least told us, that they do not want to continue fighting, and they simply do not want to fight."
He claimed that the Houthis had "surrendered," adding, "More importantly, we will accept their words and stop the bombing."
These developments come amid ongoing military escalation. US-Israeli airstrikes on vital sites in Yemen on Tuesday resulted in seven deaths and 74 injuries, according to the Houthi group.
The Yemeni group indicated that the attacks targeted Sanaa International Airport, power stations, and industrial facilities in Sanaa and Amran, in addition to the port of Hodeidah on the Red Sea.
In mid-March, Trump ordered a "decisive and powerful" military strike against the Houthis in Yemen. Since then, the Houthi group has been subjected to intense US aggression targeting dozens of sites and resulting in the deaths and injuries of hundreds of civilians. According to the group, Washington has launched 1,300 airstrikes and naval bombardments on Yemen since then.