The official Saudi news agency added that the Saudi King had received King Abdullah II of Jordan at his palace in the eastern city of Riyadh.
It said the two leaders discussed during their meeting regional and international developments.
"They also discussed means of bolstering cooperation between Saudi Arabia and Jordan in all fields," the agency added.
King Abdullah of Jordan arrived in Saudi Arabia earlier on Sunday on a brief visit to the country.
The visit to Saudi Arabia by the Jordanian King came only three days after Egyptian President Abdel-Fattah al-Sisi visited Jordan and met with King Abdullah II.
Al-Sisi and King Abdullah discussed the Middle East peace process, the fight against terrorism and the situation in both Syria and Iraq during their talks.