A Palestinian protester throws a tire into a fire during clashes with Israeli security forces following a protest in reaction to the death of the 18-month-old child killed in an arson attack in the occupied West Bank earlier in the week, on August 2, 2015 on a street leading to Duma village. PHOTO: AFP
Rivlin had written a Facebook post following Friday's arson attack on a Palestinian family's home in the West Bank village of Duma by suspected Jewish extremists.
The attack killed 18-month-old Ali Saad Dawabsha and left his parents and four-year-old brother critically wounded.
"More than shame, I feel pain," Rivlin wrote in Arabic and Hebrew. "The pain over the murder of a little baby. The pain over my people choosing the path of terrorism and losing their humanity.
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"Their path is not the path of the State of Israel and is not the path of the Jewish people. Unfortunately, it seems that so far we've dealt with the phenomenon of Jewish terrorism limply," he wrote, calling for concrete measures against such extremists.
Israeli peace activists stand in Dawabsha family's home set on fire by suspected Jewish extremists and where a Palestinian toddler was burned to death earlier in the week, on August 2, 2015 in the West Bank village of Duma. PHOTO: AFPRivlin's post evoked a wave of more than 2,000 comments, some positive but others attacking him and recalling Israelis killed by Palestinians.
"Dirty traitor. Your end will be worse than (Ariel) Sharon's," said one comment quoted by the Maariv newspaper, referring to the late former Israeli premier who spent eight years in a coma.
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Another said: "In Russia you would have been found by this point cut up inside a shoe box."
Police said they had received material from the president's security team and had ordered an investigation to "examine offensive publications against the president on social media."
Israeli legal officials could not say whether incitement to violence was among the suspected crimes under investigation.
In 1995, then prime minister Yitzhak Rabin was gunned down at a peace rally in Tel Aviv by a Jewish extremist after a campaign of right-wing incitement against a peace deal with the Palestinians.
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