The BBC engaged in a "major breach" of industry standards by omitting to mention that the presenter of a film about the Gaza situation was the son of a Hamas official, as determined by regulatory body Ofcom.
An probe by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The head of the BBC had already issued an apology, saying there had been "a serious error in relation to factual correctness".
The authority has ordered the BBC to transmit a peak-time statement about its findings.
"Since this amounts to a serious breach of our code, we are ordering the BBC to transmit a announcement of our conclusions against it on BBC2 at 9pm, with a timing to be determined," it said.
'Potential to Undermine Confidence'
The authority's statement said: "Our investigation concluded that the programme's omission to reveal that the narrator's male guardian served in a role in the Hamas-controlled government was materially misleading.
"Consequently that the viewers did not have vital facts which may have been very significant to their assessment of the presenter and the details he presented.
"Credibility is at the core of the relationship between a media organization and its audience, especially for a public service broadcaster such as the BBC.
"This failing had the possibility to undermine the very considerable levels of credibility that audiences would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The programme was withdrawn from iPlayer in last February after the boy's personal associations were revealed, and in this past July an internal BBC review found it breached the corporation's journalistic standards on factual correctness.
A BBC spokesperson said: "The regulator's decision is in agreement with the results of the corporation's inquiry, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on factual correctness, which aligns with regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we agree with Ofcom's decision in complete. We will follow the directive as soon as the timing and wording are finalised."