These are "leaders who have seen so much, whose lives span such. epics, that they see no need to posture or traffic in what's popular in the moment".
No other Arab leaders attended the funeral.
In his address, President Obama said the friendly encounter between the two foes was a reminder of Mr Peres's "unfinished business". "A free life, in a homeland regained".
"It is that faith, that optimism, that belief, even when all the evidence is to the contrary, that tomorrow can be better that makes us not just honour Shimon Peres, but love him. This is the state of Israel", he said.
In his eulogy, Mr Obama said: "Shimon never saw his dream of peace fulfilled".
Peres died Tuesday while hospitalised for a major stroke.
Obama described the unlikely friendship he forged with Peres, given their vastly different backgrounds, and he likened him to South Africa's Nelson Mandela.
Mr Netanyahu, in his eulogy, called Mr Peres a "great man of the world". "He was a great man of the world".
Ofer Zalzberg, senior Middle East analyst for Brussels-based think tank the International Crisis Group, said the Palestinian leader's attendance was about influencing public opinion rather than wooing the Israeli premier.
"Let's go!" Obama said to Clinton after clapping three times, which was captured by a Sky News camera.
Netanyahu noted he and Peres began as political rivals but became friends with shared ideals, calling Peres a "founding father of Israel".
Some 70 countries were represented, with the range of leaders reflecting the respect that Mr Peres had gained over the years during his transformation from hawk to committed peace advocate.
"We should also apologize to you".
Abbas's rare visit to the city, a short drive through Israeli military checkpoints from Ramallah, in the occupied West Bank, seemed unlikely to yield anything more than handshakes with Israeli Prime Minister Benjamin Netanyahu and Obama. "Who is he that you are going to participate in his funeral while most of your people, who you represent, reject him", Mansour wrote.