A solemn ceremony saw President Reuven Rivlin, Prime Minister Benjamin Netanyahu, parliament speaker Yuli Edelstein and opposition leader Isaac Herzog lay wreaths beside Peres's flag-draped coffin at a plaza outside parliament.
The ceremony was held in silence, with none of the leaders speaking.
Afterwards, beginning at 9.00 AM (local times), several hundred mourners began making their way into the grounds of parliament to view the coffin after passing through security checks.
Peres's body is to lie in state until 9.00 PM ahead of funeral tomorrow to be attended by world leaders, including US President Barack Obama, former US president Bill Clinton, French President Francois Hollande and German President Joachim Gauck as well as Britain's Prince Charles.
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A major security operation is being put in place ahead of the funeral at Jerusalem's Mount Herzl national cemetery.
Peres died yesterday aged 93 after suffering a major stroke.
In a career spanning seven decades, he held nearly every major office, serving twice as prime minister and as president from 2007 to 2014.