The army would not elaborate on the condition of the Palestinian, but the soldier was unharmed.
The army said the attack took place near a site known to Jews as the Cave of the Patriarchs and to Muslims as the Ibrahimi Mosque, the traditional burial spot of the biblical Abraham and his family.
Earlier, the Israeli military said a Palestinian stabbed and severely wounded an Israeli soldier near Hebron before being shot and killed.
There have been almost daily Palestinian attacks, mostly stabbings, against Israeli civilians and security forces in recent weeks.
Ten Israelis have been killed in Palestinian attacks, while 51 Palestinians have been killed by Israeli fire.
Meanwhile, an Israeli official said that prime minister Benjamin Netanyahu has ordered a review of the status of certain Palestinian neighbourhoods of east Jerusalem, an effort that could affect the residency rights of tens of thousands of Palestinians.
Palestinian shot trying to stab IDF soldier in Hebron https://t.co/ig2sjyfhTU— UJA News Net (@ujanewsnet) October 26, 2015