The Palestinian police stopped the Israeli car to question the soldiers.
There, a car blew up as it rammed a convoy of two Israeli cars escorted by police and army vehicles, wounding several people.
The suicide bomber, who was apparently disguised as a religious Jew, blew himself up inside an Israeli car after asking for a ride.
And would Palestinians really kill someone just for driving an Israeli car?
Stone-throwing at Israeli cars in the West Bank has also become a daily occurrence in recent weeks.
Privately owned Israeli cars and rental cars may cross through the terminal.
The students were throwing stones at Israeli cars, Israeli officials said.
The bomber apparently used his disguise to approach an Israeli car and ask for a ride, Israeli Army radio reported.
In several places, the highway to Jerusalem was strewn with rocks hurled at passing Israeli cars and army vehicles.
"They fired on an Israeli car from a passing car," he told reporters.