Speaking at the United Nations, Sisi said the Israeli-Palestinian conflict was at "the core of regional instability" and called for a settlement based on a two-state solution leading to a Palestinian state.
"Permit me to deviate from the written statement to address an appeal to the Israeli leadership and Israeli people," Sisi told the UN General Assembly.
Signup to our newsletter and follow us on Facebook and Twitter!
"We have a real opportunity to write a bright page in the history of our region, to move toward peace," he said.
The first Arab country to make peace with Israel, Egypt has stepped up its diplomacy over recent months to try to re-start Israeli-Palestinian peace negotiations.
The peace process has been comatose since the collapse of a US-led initiative in April 2014.