One man was killed at the Far’a camp, and the other was killed at the Tulkarem camp, Al Jazeera reported.
Israeli soldiers also arrested 30 people before withdrawing early on Monday, according to reports.
The Red Crescent reported that four individuals at Far’a were hospitalized after being injured by "shrapnel from an explosion" at the camp.
Most arrests occurred in the Bethlehem governorate, with additional arrests in Qalqilya, Jenin, Nablus, Ramallah, Hebron (al-Khalil), Salfit, Jerusalem al-Quds, and Tubas, the Palestinian Prisoner’s Society stated.
Those arrested included a woman and several minors who had been previously imprisoned.
Since October 7, Israeli forces have arrested 9,155 people in the occupied West Bank.
On Sunday night, Israeli forces conducted a series of raids across the West Bank.
In Qalqilya, soldiers raided homes and arrested at least four Palestinians.
The towns of Arrabeh and Yabad and the village of Jalbun in the Jenin governorate were also raided, though no arrests were made.
Early Monday morning, Israeli forces stormed the town of Beitunia and the village of Tal.