UN welcomes proposal from Yemen Iran
] A statement said the proposal could send "a powerful message of will to end the war."
The offer comes a week after a drone and missile strikes hit Saudi oil facilities.
Houthi rebels claim to have carried out the attack, but the US and Saudi Arabia blame Iran.
Tehran denies participation in the strikes.
The civil war in Yemen has killed 1
Saudi Arabia and its regional allies dramatically escalated the conflict in 2015 when they launched an air campaign against the Hutists who deposed President Abdrabbu Mansour Hadi and seized the capital, Sana'a.
The Hussites launched numerous attacks with drone, missiles and rockets on the Gulf Kingdom.
What do the Huts offer?
In a television message, the chairman of the Houthi Supreme Political Council, Mahdi al-Mashat, stated that the group would end all strikes in Saudi Arabia, provided the kingdom and its allies did the same.
"We reserve the right to return and respond in the event that there is no response to our initiative," he said, calling on all parties in Yemen to work for "inclusive national reconciliation".
On Saturday, UN Special Envoy for Yemen Martin Griffiths welcomed the suspension of strikes and calls for a political decision.
"The Special Envoy stresses the importance of seizing this opportunity and moving forward with all the necessary steps to reduce violence, military escalation and useless rhetoric," a statement issued by his cabinet says.
The Hussites have repeatedly claimed responsibility for the September 14 attacks on the Abqaiq oil and Hurai oil field, which affected markets around the world.
But both the Saudis and the US take over
Saudi Foreign Minister Adel al Jubir said Saturday that the weapons used were Iranian and promised to release his full findings.
In a speech to reporters in Riyadh, Mr. Jubir said that his government consults with allies and will take "necessary action" after the conclusion of the investigation, without giving details of possible action.
and borrow arda and clear position against this reckless behavior that threatens the global economy, "he said.
The Trump administration backs allegations in Saudi Arabia. Unnamed senior officials have told US media that evidence suggests the strikes occurred in southern Iran.
On Friday, officials announced a moderate deployment of US troops in Saudi Arabia to help strengthen its missile and air defense. Iran's Revolutionary Guard leader, Major General Hossein Salami, warned on Saturday that "the country's readiness to respond to any aggression is clear."
"Beware, limited aggression will not remain limited. We will be chasing every aggressor," he said at the opening of a captive drone exhibition in the Tehran capital. "We will continue to completely destroy any aggressor."
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The country's Revolutionary Guards Corps (IRGC) is an elite branch of the Tehran army and has been designated by a terrorist organization in the United States.
Iran, a Saudi Arabian regional rival, is an adversary The United States and tensions between the two have risen significantly this year.The United States said Iran was behind attacks on two Gulf oil tankers in June and July, as well as four more in May – charges dismissed by Tehran.