In a statement, the PMU said the fourth regiment of its 30th Brigade was struck in a “treacherous” US-Israeli airstrike in the Nineveh Plain earlier in the day.
The Iraqi security unit said the attack killed one fighter and injured two others.
The PMU, also known as Hashd al-Shaabi, was established on June 14, 2014, as a volunteer force supporting Iraqi security forces in the fight against Daesh (ISIS).
It was formally incorporated into Iraq’s armed forces under a government decree in July 2016.
Meanwhile, the strike comes amid ongoing US and Israeli agression against Iran that began on Feb. 28.
The US and the Israeli regime launched a large-scale unprovoked military campaign against Iran following the assassination of Leader of the Islamic Revolution Ayatollah Seyed Ali Khamenei, along with several senior military commanders and civilians on February 28.
The attacks have involved extensive aerial strikes on both military and civilian locations across Iran, causing significant casualties and widespread damage to infrastructure.
In response, the Iranian Armed Forces have carried out retaliatory operations, targeting American and Israeli positions in the occupied territories and at regional bases with waves of missiles and drones.