The Nobel-prize winner, who led Israel into peace talks with the Palestinians in the 1990s, had suffered a stroke two weeks ago.
President Obama led tributes saying: "A light has gone out, but the hope he gave us will burn forever".
Former president of the US, Bill Clinton, has said he "will miss Shimon Peres" in a glowing tribute on Twitter.
He added Peres was his "brilliant and eloquent friend", and "his life was a blessing".
President Obama has led tributes at the funeral of former Israeli prime minister and president Shimon Peres.
Former Israeli president Shimon Peres dies aged 93 following a stroke two weeks ago.