The first incident occurred near the Gush Etzion bloc of settlements south of Jerusalem, the site of a series of recent attacks.
A Palestinian brandishing a knife attempted to stab a pedestrian at a junction near the settlement bloc and was shot dead by an Israeli soldier, police and the army said.
Later in the day, in the northern West Bank, a Palestinian woman or teenager who allegedly sought to carry out a stabbing near the Israeli settlement of Einav was shot.
Violence since October 1 has left 102 dead on the Palestinian side, including an Arab Israeli, as well as 17 Israelis, an American and an Eritrean.
Many of the Palestinians killed have been attackers, while others have been shot dead by Israeli security forces during clashes.
The international community has repeatedly called for moves to reduce tensions but Israeli Prime Minister Benjamin Netanyahu has vowed to step up punitive measures.