The British broadcaster engaged in a "major breach" of media regulations by failing to disclose that the voice of a programme about the Gaza conflict was the offspring of a Hamas representative, as determined by regulatory body Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has determined that the programme was "significantly deceptive".
The head of the BBC had previously apologised, saying there had been "a serious error in relation to accuracy".
Ofcom has ordered the corporation to air a prime-time announcement about its findings.
"As this represents a major infringement of our code, we are directing the corporation to air a statement of our conclusions against it on the BBC's second channel at nine o'clock in the evening, with a date to be finalised," it said.
'Risk to Undermine Trust'
The regulator's announcement stated: "Our investigation concluded that the programme's lack of disclosure that the presenter's parent occupied a position in the Hamas-run authority was substantially inaccurate.
"This implied that the viewers did not have critical information which may have been extremely pertinent to their assessment of the voice and the information he provided.
"Trust is at the heart of the relationship between a media organization and its audience, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the possibility to damage the significantly high amounts of credibility that viewers would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was removed from iPlayer in the month of February after the boy's familial connections were revealed, and in the month of July an broadcaster's internal assessment concluded it infringed the corporation's journalistic standards on factual correctness.
A representative for the broadcaster said: "The authority's determination is in accordance with the results of the corporation's inquiry, that there was a significant failing in the film in relation to the BBC's Editorial Guidelines on accuracy, which corresponds to regulation 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we accept Ofcom's decision in full. We will comply with the sanction as soon as the schedule and wording are confirmed."