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Some of the world's most powerful figures will be at the service in Jerusalem on Friday, including US President Barack Obama.
Mr Peres's condition had deteriorated after suffering a stroke two weeks ago.
He was one of the last of a generation of Israeli politicians present at the nation's birth in 1948.
Mr Peres won the Nobel Peace Prize in 1994 for his role negotiating the Oslo peace accords with the Palestinians a year earlier, a prize he shared with Prime Minister Yitzhak Rabin, and Palestinian leader Yasser Arafat.
The agreement was witnessed by former US President Bill Clinton and signed at the White House. On Wednesday Mr Clinton said on Twitter:
"I will miss Shimon Peres, my brilliant and eloquent friend. His life was a blessing to all who strive for peace..."
Other world leaders set to attend the funeral on Friday include UN Secretary General Ban Ki-moon, German Chancellor Angela Merkel, French President Francois Hollande, former French President Nicolas Sarkozy, Canadian Prime Minister Justin Trudeau, Australian Prime Minister Malcolm Turnbull and Mexican President Enrique Pena Nieto.
Mr Peres will receive a state burial at a ceremony on Friday at Mount Herzel Cemetery in Jerusalem.
Palestinian Authority President Mahmoud Abbas sent a letter of condolence to Mr Peres' family "expressing his sorrow and sadness".
"Peres was a partner in creating the peace of the brave with the late President Yasser Arafat and Prime Minister Rabin, and has made intensive efforts to reach a long-lasting peace since the Oslo agreement and until the last breath," he said in a statement.
It is not clear if Mr Abbas will attend the funeral.
However, some Palestinians and others across the Middle East were not mourning his passing. Abdul Rahman Daireyeh, a resident in Ramallah, told the BBC:
"He [Peres] is a war criminal who has killed hundreds of Palestinians. He was never a man of peace. Towards the end of his life, he appeared as a man of peace but he was never that person, as he killed hundreds."
The militant Palestinian Islamist movement Hamas, said that Mr Peres's death was the "end of the history of occupation".
Mr Peres once said the Palestinians were Israel's "closest neighbours" and might become its "closest friends".
His son, Chemi, said of his father: "He served our people before we even had a country of our own. He worked tirelessly for Israel from the very first day of the state to the last day of his life."
Israel's Prime Minister Benjamin Netanyahu expressed his "deep sorrow" over Mr Peres' death in a video statement.
"As a man of peace, he worked until his final days toward reconciling with our neighbours for a better future for our children.''
Once an advocate of Jewish settlements in the occupied West Bank, Mr Peres later became a leading political dove. He often spoke of the need for compromise over territorial demands in Palestinian areas.

A long list of world leaders will attend the funeral of former Israeli prime minister and president Shimon Peres, who died on Wednesday at 93.