Aoun, an ally of the Iranian-backed Lebanese Shia group Hezbollah, visited Saudi Arabia this week, trying to mend relations with the Sunni Muslim monarchy which has traditionally backed Hezbollah's opponents in Lebanon.
Saudi Arabia cancelled the military aid in February last year when the Lebanese government failed to join other Arab states in condemning attacks by Iranian demonstrators on Saudi missions in Iran.
It has also warned wealthy Saudi visitors to stay away from Lebanon, depriving the country of vital tourism revenue.
Aoun told the Saudi-owned Asharq al-Awsat in an interview published on Wednesday - a day after he held talks with King Salman - that Saudi tourists would soon return to Lebanon.
Asked if his visit had turned a new page in relations with Saudi Arabia, Aoun said: "Yes. When this transient era clears, we will be certain that it had no roots from the Lebanese people's side."