The BBC committed a "major breach" of broadcasting rules by not revealing that the voice of a programme about Gaza was the child of a Hamas official, as determined by regulatory body Ofcom.
An inquiry by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The BBC's director general had already issued an apology, stating there had been "a serious error in relation to factual correctness".
The regulator has instructed the broadcaster to broadcast a prime-time statement about its conclusions.
"Since this amounts to a serious breach of our rules, we are ordering the BBC to broadcast a statement of our findings against it on BBC2 at 9pm, with a timing to be determined," it said.
'Possibility to Damage Trust'
The authority's report stated: "Our investigation determined that the documentary's failure to disclose that the presenter's parent served in a position in the Hamas-administered authority was substantially inaccurate.
"This implied that the audience did not have vital facts which may have been highly relevant to their evaluation of the presenter and the content he presented.
"Credibility is at the center of the bond between a broadcaster and its audience, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the potential to undermine the very considerable levels of credibility that audiences would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The film was withdrawn from the online platform in last February after the presenter's personal associations emerged, and in the month of July an corporation's own inquiry determined it breached the broadcaster's journalistic standards on factual correctness.
A corporation official commented: "The Ofcom ruling is in agreement with the results of the internal assessment, that there was a serious error in the film in relation to the BBC's Editorial Guidelines on accuracy, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we comply with the regulator's ruling in full. We will follow the penalty as soon as the schedule and wording are determined."