It described the incident at the entrance of Kafr N'ima village near Ramallah as a Palestinian car-ramming attack in which two assailants were shot dead and a third was slightly wounded.
An officer was also critically injured and a soldier slightly hurt when they were run over some 10 km northwest of the Palestinian city of Ramallah, it added.
Palestinians 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.
Israeli troops, however, have opened fire on Palestinians frequently, with the excuse that they sought to carry out car-ramming attacks.
Tensions continue in the occupied territories following US President Donald Trump's recognition of Jerusalem al-Quds as Israel’s capital and the relocation of the US embassy from Tel Aviv to the occupied city.
Palestinians want the West Bank as part of a future independent Palestinian state with East Jerusalem al-Quds as its capital.
The Gaza Strip has also been witnessing tensions since March 30, which marked the start of the “Great March of Return” protests demanding the right to return for the Palestinians driven out of their homeland.
Those tensions saw a sharp rise on May 14, marking the 70th anniversary of the Nakba Day (the Day of Catastrophe), which this year coincided with the US embassy relocation.
More than 260 Palestinians have been killed and at least 26,000 others wounded by Israeli troops since then.
Human rights groups have repeatedly slammed Tel Aviv for its shoot-to-kill policy, saying many Palestinians killed by Israeli troops did not pose any serious threat.
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