The public service broadcaster committed a "significant breach" of media regulations by omitting to mention that the narrator of a programme about the Gaza situation was the child of a Hamas representative, according to UK media regulator Ofcom.
An inquiry by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has determined that the film was "significantly deceptive".
The head of the BBC had previously apologised, saying there had been "a significant failing in relation to accuracy".
Ofcom has ordered the BBC to air a evening announcement about its conclusions.
"Given this constitutes a major infringement of our rules, we are ordering the broadcaster to transmit a announcement of our determinations against it on BBC2 at 21:00, with a schedule to be determined," the regulator stated.
'Potential to Erode Trust'
The authority's announcement stated: "Our probe determined that the programme's omission to reveal that the voice's father occupied a role in the Hamas-run administration was significantly deceptive.
"This implied that the public did not have vital facts which may have been very significant to their assessment of the presenter and the content he presented.
"Credibility is at the center of the connection between a media organization and its public, particularly for a national broadcasting corporation such as the public broadcaster.
"This error had the potential to damage the exceptionally strong degrees of confidence that the public would have placed in a documentary produced by the BBC about the conflict in Gaza."
The documentary was removed from iPlayer in February after the narrator's family links emerged, and in July an internal BBC review found it infringed the organization's content policies on accuracy.
A BBC spokesperson said: "The regulator's decision is in agreement with the conclusions of the internal assessment, that there was a significant failing in the programme in relation to the BBC's Editorial Guidelines on truthfulness, which aligns with regulation 2.2 of the regulator's media standards.
"We issued an apology for this and we comply with Ofcom's decision in its entirety. We will follow the penalty as soon as the date and wording are determined."