The judges found Sergeant Elor Azaria, 20, guilty of the charge on Wednesday, and supporters have set up several Facebook pages urging Israel's president to pardon him. Prime Minister Benjamin Netanyahu has also called for a pardon on his own Facebook page.
Netanyahu urges pardon for soldier who killed Palestinian
The case has polarized Israel. A military security detail was assigned to the judges on Wednesday, when several hundred far-right supporters of Azaria clashed with police outside the Tel Aviv military base as the verdict was being read out.
Police spokesman Micky Rosenfeld said officers had arrested a man in Jerusalem and a woman in the southern town of Kiryat Gat whose social media comments constituted "incitement to violence" against the judges.
Ten months ago, Azaria was an army medic serving in the city of Hebron, in the occupied West Bank, when two Palestinians stabbed a fellow soldier.
One of the assailants was shot dead by troops. The other, Abd Elfatah Ashareef, 21, was wounded and lay on the ground incapacitated when more than 10 minutes after the attack Azaria shot him in the head with an assault rifle.
Ruling in one of the most polarizing cases in Israel's history, the judges convicted Azaria of manslaughter, saying he acted out of a sense of vengeance and had said after pulling the trigger, "He deserved to die."
Israeli soldier guilty of manslaughter for shooting Palestinian
He faces up to 20 years in prison, although legal experts expect a much lighter term. Sentencing is expected in the coming weeks.
The trial has generated debate about whether the military is was out of touch with a public that has shifted to the right in its attitudes toward the Palestinians.
A poll published on Wednesday by Israel's Channel 2 television showed that 67 percent of respondents favor a pardon for Azaria. Many right-leaning politicians advocate the same.
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