The UN's human rights chief has urged the US to conclude its investigation and publish its findings into a deadly strike on an Iranian primary school that happened on the first day of the war last month.

The bombing 'evoked a visceral horror,' Volker Türk said at an urgent debate in the UN Human Rights Council, saying there 'must be justice for the terrible harm done'.

The attack on Shajareh Tayyebeh school consisted of two missile strikes in quick succession that killed at least 168 people, including about 110 children, Iranian officials have said.

US media have reported that American military investigators believe its own forces were likely responsible for hitting the school unintentionally.

US Defence Secretary Pete Hegseth previously said the matter was being investigated.

The strike, if a US role was to be confirmed, would amount to one of its worst single cases of civilian casualties in decades of US conflicts in the Middle East.

'The images of bombed-out classrooms and grieving parents showed clearly who pays the highest price for war: civilians with no power in the decisions that led to conflict,' Türk said.

He stated: 'the onus is on those who carried out the attack to investigate it promptly, impartially, transparently and thoroughly'.

Iran's Foreign Minister Abbas Araghchi labeled the bombing as a 'deliberate and intentional' attack by the US, insisting it is an atrocity that cannot be justified.

Democrats in the US Senate have demanded answers regarding the strike from US Defence Secretary Hegseth, questioning the operational aspects and whether civilians were indeed targeted.

Previous reports suggest outdated targeting data may have led to the tragic bombing of the school instead of its intended target, a nearby military base.