The British broadcaster was found to have committed a "serious breach" of broadcasting rules by failing to disclose that the voice of a film about the Gaza conflict was the offspring of a Hamas official, according to UK media regulator Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The chief executive of the broadcaster had previously apologised, saying there had been "a serious error in relation to accuracy".
The regulator has ordered the broadcaster to broadcast a evening declaration about its findings.
"Given this constitutes a major infringement of our code, we are directing the BBC to transmit a message of our determinations against it on BBC2 at 21:00, with a schedule to be determined," it said.
'Risk to Undermine Trust'
The regulator's statement stated: "Our probe concluded that the programme's lack of disclosure that the voice's father served in a role in the Hamas-controlled government was materially misleading.
"This implied that the audience did not have essential details which may have been highly relevant to their evaluation of the presenter and the details he shared.
"Confidence is at the center of the bond between a broadcaster and its audience, particularly for a state-funded media outlet such as the public broadcaster.
"This oversight had the possibility to undermine the significantly high levels of credibility that audiences would have invested in a BBC factual programme about the Gaza conflict."
The documentary was withdrawn from iPlayer in February after the boy's personal associations emerged, and in the month of July an internal BBC review concluded it breached the organization's editorial guidelines on factual correctness.
A corporation official said: "The Ofcom ruling is in line with the findings of the corporation's inquiry, that there was a significant failing in the film in relation to the corporation's content standards on factual correctness, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept the authority's determination in its entirety. We will follow the sanction as soon as the schedule and wording are confirmed."