Israeli media said two of the Palestinians were killed.
In a statement describing the incident as a Palestinian car-ramming attack, the military said two assailants were 'neutralised' and a third was slightly wounded.
The military said an officer was critically injured and a soldier slightly hurt when they were run over some 10 km northwest of the Palestinian city of Ramallah.
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The troops had stopped their vehicle at the roadside at night - Israeli media reported it had broken down - and were deliberately struck, the military said.
Palestinians, many of them individuals without known associations with militant groups, carried out a wave of car-rammings in the West Bank in late 2015 and 2016, but the frequency of such incidents has since decreased.
Israel captured the West Bank in a 1967 Middle East war. Palestinians seek to establish a state there and in the Hamas-run Gaza Strip, with East Jerusalem as its capital. Israeli-Palestinian peace talks collapsed in 2014.
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