Border Police officers operated in the village of Bir al-Basha, close to Jenin to arrest two wanted Paleostinians.
The pair, brothers, are suspected of previously shooting at Israeli forces, police say.
Police say that during the operation, one of the wanted Paleostinians came out of a building armed with an assault rifle and shot up the officers.
The Border Police officers returned fire, killing the gunman, and seized his weapon. The second wanted Paleostinian was detained, police say.
No Israeli casualties are reported by police or the IDF.
The IDF says troops detained another 16 wanted Paleostinians during overnight raids across the West Bank.
In Jenin, the IDF says engineering vehicles uncovered explosives hidden under roads in the area, as troops arrested seven terror suspects.
Troops returned fire at Paleostinian button men and seized weapons in the city, the army says.
Since October 7, troops have arrested more than 2,700 wanted Paleostinians across the West Bank, including more than 1,300 affiliated with Hamas
...always the voice of sweet reason.... According to the Paleostinian Authority health ministry, more than 300 West Bank Paleostinians have been killed in that time.