The public service broadcaster committed a "major breach" of industry standards by failing to disclose that the presenter of a programme about the Gaza situation was the son of a Hamas administrator, as determined by regulatory body Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The head of the BBC had already issued an apology, stating there had been "a significant failing in relation to accuracy".
The authority has directed the BBC to air a peak-time announcement about its decisions.
"Since this amounts to a serious breach of our regulations, we are instructing the BBC to air a statement of our determinations against it on the BBC's second channel at 9pm, with a schedule to be determined," it said.
'Risk to Undermine Confidence'
The regulator's report declared: "Our investigation determined that the film's failure to disclose that the voice's parent served in a role in the Hamas-controlled administration was substantially inaccurate.
"This implied that the audience did not have critical information which may have been extremely pertinent to their evaluation of the voice and the information he provided.
"Trust is at the heart of the bond between a broadcaster and its public, especially for a national broadcasting corporation such as the BBC.
"This oversight had the risk to erode the significantly high levels of credibility that viewers would have put in a documentary produced by the BBC about the Israel-Gaza war."
The programme was pulled from the online platform in the month of February after the boy's family links emerged, and in the month of July an broadcaster's internal assessment found it infringed the organization's journalistic standards on accuracy.
A BBC spokesperson said: "The Ofcom ruling is in agreement with the findings of the corporation's inquiry, that there was a significant failing in the film in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with Ofcom's decision in full. We will comply with the directive as soon as the schedule and wording are determined."