The public service broadcaster engaged in a "significant breach" of industry standards by omitting to mention that the narrator of a film about the Gaza conflict was the son of a Hamas official, as ruled by regulatory body Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has concluded that the documentary was "substantially inaccurate".
The chief executive of the broadcaster had previously apologised, saying there had been "a significant failing in relation to truthfulness".
The regulator has directed the broadcaster to air a evening declaration about its findings.
"Since this amounts to a serious breach of our rules, we are ordering the BBC to broadcast a announcement of our findings against it on the BBC's second channel at 21:00, with a date to be confirmed," the statement read.
'Possibility to Undermine Confidence'
The regulator's statement stated: "Our investigation concluded that the programme's omission to reveal that the presenter's parent served in a position in the Hamas-run administration was materially misleading.
"Consequently that the public did not have essential details which may have been extremely pertinent to their assessment of the presenter and the information he shared.
"Credibility is at the heart of the connection between a media organization and its audience, particularly for a public service broadcaster such as the BBC.
"This error had the possibility to undermine the exceptionally strong degrees of trust that the public would have put in a documentary produced by the BBC about the Gaza conflict."
The film was withdrawn from the online platform in last February after the boy's familial connections came to light, and in the month of July an internal BBC review found it infringed the corporation's content policies on truthfulness.
A BBC spokesperson said: "The authority's determination is in line with the findings of the corporation's inquiry, that there was a major oversight in the documentary in relation to the broadcaster's journalistic policies on truthfulness, which aligns with clause 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with Ofcom's decision in its entirety. We will adhere to the directive as soon as the date and wording are confirmed."