Israeli soldiers opened fire on a car and wounded two Palestinians at a checkpoint between Jerusalem and the West Bank early Sunday.
Neither Palestinian appeared to have suffered life-threatening wounds, Israeli police said.
One was taken to a Jerusalem hospital, the other to a hospital in Bethlehem.
The incident, on Sunday morning, began when a Palestinian man approached this checkpoint from the West Bank town of Bethlehem.
Israeli police sources said that when asked to show identification, the man first presented an Israeli identity card, which would have enabled him to enter Israel.
But guards searched the young man and found a second Palestinian identity card, police said.
The man ran to a waiting car and the guards opened fire, injuring two Palestinians inside the vehicle.
Another man who was in the car fled toward Bethlehem.
Israel has been on high alert and imposed a total closure on the West Bank and Gaza Strip after a suicide bomber from the West Bank set off a blast in a Tel Aviv cafe Friday, killing himself and three Israeli women.
The suicide bomber's family has been given notice of demolition of their property.
A punishment that the Israeli authorities - inheriting the procedure from the British colonial days - have been applying to the families of Palestinian terrorists and suspected terrorists since they occupied the West Bank in 1967.