El-Sisi said such a settlement would allow the region to move towards greater stability, cooperation and prosperity.
The Egyptian president also called for the full implementation of the Gaza ceasefire agreement and the US-Iran framework deal to end the war, urging efforts to prevent attempts to undermine either deal.
He thanked US President Donald Trump for his efforts to help secure both agreements and said Egypt had worked to contain regional escalation.
The remarks came during the inauguration of Egypt's new Strategic Command Headquarters, known as the Octagon, which officials say will serve as the country's main command-and-control centre.
The Octagon -- named after eight interconected octagonal buildings, representing the eight branches of the Egyptian army -- is the largest military HQ in the world.
According to Egyptian authorities, the complex brings together military command, crisis management and secure communications systems to improve coordination and decision-making during emergencies.
The inauguration was attended by senior civilian and military officials, including Defence Minister Lieutenant General Ashraf Salem Zaher and Chief of Staff Lieutenant General Ahmed Khalifa. During the ceremony, el-Sisi described the headquarters as a major step forward in Egypt's command and operational capabilities.