"President Trump is determined to make sure that we protect America, all the while holding accountable those who committed the heinous murder of Jamal Khashoggi", Pompeo added during a joint press briefing with Defense Secretary Jim Mattis and their Canadian counterparts at the State Department.
Some of President Trump's fellow Republicans defied him to pass the measure with Democrats by 56-41.
Khashoggi was last seen going into the Saudi consulate in Istanbul
It said that such a position "was built on untrue allegations", and that Saudi Arabia rejected "any interference in its internal affairs".
"And that crisis is about 85,000 children starving to death, 10,000 new cases of cholera every single week, and the United Nations telling us that Yemen is on the verge of imminent starvation with the possibility of millions of people dying, all because of Saudi activities in that civil war". "We have been providing the bombs that Saudi Arabia is using, refueling the planes that drop those bombs and assisting with intelligence".
Seven Republicans joined a unified Democratic caucus in backing the initial Yemen-related resolution, which asserts Congress' constitutional duty to declare war and approve prolonged US military engagements.
The murder has damaged Riyadh's worldwide reputation and Western countries, including the United States, France, and Canada, have placed sanctions on almost 20 Saudi nationals.
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Since then, the United States has been helping the Saudi-UAE military alliance with weaponry and logistical support.
And they have argued that ending United States support could complicate Yemen peace efforts.
The US has so far not publicly responded to the Saudi statement.
US Senator Jack Reed, member of the Senate Armed Services Committee, said "the Pentagon will now recoup $331 million for US taxpayers from the Saudi-led coalition (SLC)".
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The resolutions can not be debated in the House of Representatives before January, and would likely be vetoed in any case by Mr Trump.
Khashoggi, a Saudi contributor to the Washington Post, was killed on October 2 shortly after entering the kingdom's consulate in Istanbul in what Riyadh called a "rogue" operation.
It's the latest sign of how the relationship between the royal court and Congress has deteriorated, more than two months after Khashoggi was killed and dismembered by Saudi agents inside the kingdom's consulate in Istanbul.
Congressional ire toward Saudi Arabia had been simmering for years as Yemen's civil war dragged on with ever-higher civilian death tolls.
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In an interview with the Sunday Telegraph newspaper, Hunt indicated that he would be happy for Britain to leave without a deal. And gesturing to Austrian Chancellor Sebastian Kurz, he joked: "It will happen to Sebastian in a short period of time".
Trump's critics in the Senate slammed the White House's posture. "They continue to extend a blank check to certain players within the Saudi government, no matter how brazen their actions".