Lebanese Prime Minister Saad al-Hariri has formally revoked his resignation after reaching a consensus political agreement with rival parties.
Some Lebanese officials have said that Riyadh forced Hariri to tender his resignation, although Saudi Arabia has denied this.
The cabinet meeting on Tuesday where the statement was agreed was the first since Hariri's resignation plunged the country into political crisis.
Hariri's planned departure was seen as the latest fallout from the proxy war between Sunni-majority Saudia Arabia and Shiite-majority Iran, who back different sides in Syria and Yemen's civil wars.
Aoun was reported to be seeking Cabinet unanimity on the three topics raised by Hariri in his resignation announcement - compliance with the policy of dissociation from regional conflicts, noninterference in the internal affairs of Arab countries, and commitment to the 1989 Taif Accord.
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"All (the government's) political components decide to dissociate themselves from all conflicts, disputes, wars or the internal affairs of brother Arab countries, in order to preserve Lebanon's economic and political relations".
President Michel Aoun had asked him to "put it on hold ahead of further consultations".
Lebanese Prime Minister Saad Hariri attends a cabinet meeting at the presidential palace of Baabda, east of the capital Beirut, on December 5, 2017.
"We see how the region is boiling and we must be aware that any misstep could bring the country to a unsafe precipice", he told his cabinet. The militant group plays a key role in Lebanon's government but its armed wing is fighting in Syria to support fellow Iran ally President Bashar al-Assad.
Hariri said he was quitting on November 4 while on a trip to Saudi Arabia.