Aoun's comments on Thursday during a speech marking Army Day in Lebanon came as pressure increases from Washington to disarm Hezbollah.
The US presented Lebanon with "draft ideas to which we have made fundamental amendments that will be presented to the cabinet early next week", Aoun said.
Under the Lebanese proposal, there would be an "immediate cessation of Israeli hostilities" in Lebanon, including air strikes and targeted killing, a full withdrawal of Israeli forces from southern Lebanon and the release of Lebanese prisoners held in Israel, Aoun said.
Lebanon, for its part, would implement the "withdrawal of the weapons of all armed forces, including Hezbollah, and their surrender to the Lebanese Army", he said.
The comments came after a speech on Wednesday by Hezbollah leader Naim Kassem that called the group's weapons "part of Lebanon's strength" and said "anyone who demands the delivery of weapons is demanding the delivery of weapons to Israel".
Hezbollah officials have said they will not discuss giving up the group's remaining arsenal until Israel withdraws from all of Lebanon and stops its strikes.
Aoun said Lebanon's proposal also calls for international donors to contribute $US1 billion ($A1.6 billion) annually for 10 years to beef up the Lebanese army's capabilities and for an international donor conference to raise funds in the fall for reconstruction of Lebanese areas damaged and destroyed during the 2024 war between Israel and Hezbollah.
The war nominally ended with a US-brokered ceasefire in November calling for Hezbollah and Israeli forces to withdraw from the area south of the Litani River in Lebanon, which would be patrolled by a beefed-up Lebanese army, along with UN peacekeepers.
The agreement left vague how Hezbollah's weapons and military facilities north of the Litani River should be treated, saying Lebanese authorities should dismantle unauthorised facilities starting with the area south of the river.
Hezbollah maintains the deal only covers the area south of the Litani, while Israel and the US say it mandates disarmament of the group throughout Lebanon.
Since the the ceasefire took effect, Israel has continued to occupy five border points in Lebanon and carry out almost daily air strikes that Israel says are aimed at preventing Hezbollah rebuilding its capabilities.
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