One Palestinian tried to stab Israeli soldiers at a military checkpoint near Beit Einun village north of Hebron and was shot dead by troops, the army said.
Palestinian medical sources later identified him as Fadi Faroukh, 29.
In a second incident in the same area, which is near the Jewish settlement of Kiryat Arba, three Israeli border police were injured when they were run over by a car in what police called "an attack".
Israeli rescue services said one policeman was "moderately injured" and the other two lightly. The attacker was fired upon but escaped, police said.
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His body had been withheld by the Israeli authorities until today.
Israel has been withholding the bodies of suspected assailants as part of measures aimed at dissuading attacks on Jews.
On Friday, it said it had released seven bodies, apparently to ease tensions.
Defence Minister Moshe Yaalon said today that he agreed to return the bodies of Palestinians from the occupied West Bank to the Palestinian Authority on condition that burials did not become protest rallies.
"If not, we shall not return them and will even bury them in our territory."
Two Palestinians were wounded in clashes with security forces after today's funeral, an AFP correspondent in Hebron said.
Nine Israelis, 67 Palestinians -- around half of them alleged attackers -- and an Arab Israeli have been killed in a wave of violence since the beginning of October, raising fears of another Palestinian intifada or uprising.
Palestinian and Israeli leaders have sought to calm tensions leading to violence, but many attackers appear to have been acting outside formal political movements.