The public service broadcaster engaged in a "major breach" of broadcasting rules by omitting to mention that the presenter of a film about the Gaza conflict was the offspring of a Hamas official, as ruled by regulatory body Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has concluded that the film was "significantly deceptive".
The chief executive of the broadcaster had already issued an apology, noting there had been "a major oversight in relation to factual correctness".
Ofcom has instructed the BBC to air a evening statement about its conclusions.
"Given this constitutes a major infringement of our rules, we are ordering the broadcaster to air a message of our determinations against it on BBC2 at nine o'clock in the evening, with a date to be finalised," the regulator stated.
'Risk to Erode Trust'
The regulator's statement said: "The inquiry we conducted determined that the programme's lack of disclosure that the presenter's parent served in a post in the Hamas-run administration was materially misleading.
"It meant that the audience did not have vital facts which may have been very significant to their assessment of the voice and the details he provided.
"Credibility is at the heart of the bond between a broadcaster and its audience, especially for a public service broadcaster such as the public broadcaster.
"This failing had the possibility to erode the exceptionally strong amounts of credibility that the public would have placed in a factual film from the broadcaster about the Gaza conflict."
The programme was pulled from iPlayer in last February after the boy's familial connections emerged, and in July an broadcaster's internal assessment determined it infringed the organization's content policies on factual correctness.
A representative for the broadcaster stated: "The authority's determination is in accordance with the results of the internal assessment, that there was a serious error in the film in relation to the corporation's content standards on truthfulness, which aligns with clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we comply with the regulator's ruling in full. We will follow the directive as soon as the timing and wording are determined."