The British broadcaster was found to have committed a "major breach" of media regulations by not revealing that the voice of a film about Gaza was the offspring of a Hamas official, as determined by regulatory body Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The head of the BBC had previously apologised, stating there had been "a serious error in relation to accuracy".
The regulator has directed the BBC to broadcast a prime-time statement about its conclusions.
"As this represents a major infringement of our rules, we are directing the BBC to air a message of our conclusions against it on BBC Two at nine o'clock in the evening, with a schedule to be finalised," the statement read.
'Risk to Damage Credibility'
The authority's report said: "The inquiry we conducted concluded that the documentary's omission to reveal that the voice's father held a role in the Hamas-controlled authority was materially misleading.
"This implied that the viewers did not have critical information which may have been extremely pertinent to their judgment of the presenter and the details he shared.
"Trust is at the heart of the connection between a television network and its audience, particularly for a state-funded media outlet such as the BBC.
"This error had the potential to damage the very considerable amounts of credibility that viewers would have invested in a BBC factual programme about the Gaza conflict."
The documentary was pulled from the online platform in last February after the boy's family links emerged, and in July an corporation's own inquiry concluded it breached the organization's editorial guidelines on factual correctness.
A corporation official stated: "The regulator's decision is in accordance with the findings of Peter Johnston's review, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on accuracy, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with the authority's determination in full. We will adhere to the directive as soon as the date and language are finalised."
