The British broadcaster committed a "serious breach" of industry standards by omitting to mention that the narrator of a documentary about the Gaza conflict was the son of a Hamas official, as determined by regulatory body Ofcom.
An probe by Ofcom into Gaza: How to Survive a Warzone has concluded that the documentary was "significantly deceptive".
The head of the BBC had previously apologised, saying there had been "a major oversight in relation to truthfulness".
The regulator has directed the corporation to air a peak-time declaration about its conclusions.
"Given this constitutes a major infringement of our regulations, we are ordering the BBC to air a statement of our determinations against it on BBC Two at 21:00, with a date to be determined," the statement read.
'Risk to Erode Confidence'
The watchdog's report stated: "Our investigation found that the documentary's omission to reveal that the presenter's father served in a position in the Hamas-administered authority was materially misleading.
"This implied that the public did not have critical information which may have been very significant to their assessment of the narrator and the content he provided.
"Confidence is at the core of the relationship between a media organization and its viewers, especially for a state-funded media outlet such as the public broadcaster.
"This oversight had the potential to undermine the very considerable amounts of confidence that the public would have put in a documentary produced by the BBC about the Israel-Gaza war."
The film was removed from iPlayer in last February after the boy's familial connections emerged, and in July an internal BBC review determined it breached the corporation's journalistic standards on accuracy.
A BBC spokesperson said: "The Ofcom ruling is in accordance with the findings of Peter Johnston's review, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on accuracy, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with Ofcom's decision in full. We will follow the directive as soon as the timing and language are confirmed."