Security officials say the two police officers were in a car that came under fire by Palestinians. They spoke on condition of anonymity Sunday because the report was preliminary.
Israel has transferred some security control to Palestinian security forces in West Bank towns but controls much of the traffic that travels through the areas at checkpoints in territory that Palestinians want for a future state.
Israel's rescue service said it found the police vehicle upside down with one officer dead. The rescue service said efforts to revive the other failed.
The Associated Press contributed to this article.