Mattis, meeting the most powerful figures in the Saudi capital, also hinted that President Donald Trump could visit the kingdom, a longtime US ally which has welcomed Washington's firmer line against common adversary Iran.
"It is in our interest to see a strong Saudi Arabia," Mattis said at the start of talks with Deputy Crown Prince Mohammed bin Salman, the defence minister, pointing to the country's "military security services and secret services."
Later, however, Mattis gave no indication whether President Donald Trump's administration was considering an increase in its limited support for a Saudi-led coalition fighting Iran-backed rebels in Yemen.
The retired four-star Marine general earlier met King Salman at Al-Yamama Palace in Riyadh, where he told the monarch: "It's good to be back."
Mattis commanded troops during the 2003 invasion of Iraq.
He arrived in the kingdom yesterday to listen to Saudi leaders and learn "what are their priorities," an American defence official said.
The United States and Saudi Arabia have a decades-old relationship based on the exchange of American security for Saudi oil.
But ties between Riyadh and Washington became increasingly frayed during the administration of president Barack Obama.
The Sunni Muslim kingdom "felt marginalised" during international negotiations on a nuclear accord with Shiite Iran, the defence official said.
That deal, signed in July 2015 by the Obama administration, saw the lifting of international sanctions in exchange for guarantees that Tehran would not pursue a nuclear weapons capability.
Saudi leaders worry about Iran interfering in Arab countries by using local Shiite communities, as in Bahrain, Lebanon and Yemen.
Bordering Saudi Arabia, Yemen has been torn for more than two years by a civil war between Iran-backed Huthi rebels, their allies, and pro-government forces aided by a Saudi-led military coalition.
In February, Trump imposed new sanctions on Tehran after a ballistic missile test launch, and in response to its support for Yemen's rebels.
Prince Mohammed told Mattis that Saudi Arabia and the United States are working to counter challenges in the region, including "the malign activities of Iran" and to bring stability "to the most important straits."
The US military is watching Huthi activities along the strategic Bab al-Mandab strait connecting the Red Sea with the Indian Ocean.
The United States accuses the rebels of deploying coastal defence missiles and other weapons which threaten free navigation in the waters which are vital to global trade.
Trump's Yemen focus has so far been on a major escalation of attacks against jihadists from Al-Qaeda in the Arabian Peninsula.
But after talks with Prince Mohammed, Mattis warned of Iranian efforts to create a Yemeni militia "in the image" of Lebanon's Hezbollah.
Washington provides intelligence as well as aerial refuelling to coalition warplanes conducting air strikes against the rebels in Yemen with American-supplied weapons.
"Our goal is to push this conflict into the UN brokered negotiations to ensure that it ends as soon as possible," Mattis told reporters travelling on his first Middle East tour since taking office.
After Saudi Arabia, Mattis travels tomorrow to Egypt and then to Israel before returning to the Gulf for talks in Qatar.
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