The Palestinian militant group, Hamas, issued a statement hailing the "heroic operation" in the southern West Bank, saying it came at a delicate time as Israeli forces continued raids in the north of the territory.
The Israeli army described the car bomb explosion at a gas station in the Gush Etzion settlement bloc as "an attempted car bomb by a terrorist" who was later killed.
"One army officer was moderately wounded and a reserve officer in charge of security in a nearby municipality received minor injuries," the army said.
"In the second incident, the head of security in the Israeli settlement of Karmei Zur was involved in a car chase of a terrorist who had infiltrated the settlement compound, which led to a confrontation and the neutralization of the terrorist shortly thereafter. During the clash, an explosive device went off in the terrorist's car," they added.
Since 28 August, the Israeli army has killed at least 20 Palestinians, most of them militants, in simultaneous raids on several towns in the northern West Bank.