Palestinian news agency Wafa said several were injured by Israeli pilgrims, escorted by the army, in Hebron's Bab Al Zahwiya and Tel Rumeida neighbourhoods. The outlet said settlers assaulted shopkeepers and passers-by after throwing stones and bottles at homes in the Old City the night before.
Two Palestinians were arrested by Israeli forces outside their homes, it added.
The Israeli army said a soldier was also injured by an Israeli civilian during the army escort to the pilgrim site, an ancient cave and burial site that attracts hundreds of visitors a year. It ordered a “rapid lawful response” to the attack, which army chief Aviv Kohani called “shameful and criminal.”
Hebron is often a flashpoint for tensions between Palestinians and Israeli settlers, hundreds of whom live in the city centre under protection of the Israeli army.
Wafa said attacks have taken place in the city on an almost daily basis.
This year has been the deadliest year in the West Bank after years of relative calm. At least 130 Palestinians have been killed so far, the highest number since 2006, according to rights groups. There are fears violence could increase as Israel ushers in one of its most right-wing governments in recent years, with several key figures living in West Bank settlements themselves.
The sharp rise in violence followed a wave of Palestinian attacks in Israel earlier this year, killing 23 people in various towns and cities across the country.
Nablus and Jenin, both in the occupied West Bank, have also seen significant violence amid army crackdowns. Israel says the bulk of terrorist attacks have been planned and carried out by men from the area.
Nablus was under lockdown for several weeks in October as Israeli forces pursued members of the Lion's Den group.
Israel said the group was behind approximately 20 attacks on Israeli troops and civilians, including the killing of an Israeli soldier at a checkpoint. Locals decried the lockdown as collective punishment.