"There are three wounded at the site with various degrees of wounds," a police statement said. "A vehicle fled from the scene."
The army said that the incident took place near the Jewish settlement of Beit Aryeh.
"Security forces are searching the area," a military statement said.
Since October 1, almost daily attacks and clashes between Palestinians and Israeli soldiers have killed 113 on the Palestinian side, 17 Israelis, an American and an Eritrean.
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In the other incident, assailants shot at a car near the West Bank town of Tulkarem, wounding two Israelis.
US President Barack Obama used a White House visit by Israeli President Reuven Rivlin on Wednesday to call for steps to prevent a deeper crisis between Israel and the Palestinians.
"I've been very clear in condemning the violence that is recurring inside of Israel, the need for leaders like (Palestinian) president (Mahmud) Abbas to unequivocally condemn the violence that has been taking place and the need to end incitement," Obama said.