The public service broadcaster committed a "major breach" of media regulations by omitting to mention that the presenter of a film about Gaza was the child of a Hamas official, as determined by UK media regulator Ofcom.
An inquiry by Ofcom into the documentary titled Gaza: How to Survive a Warzone has determined that the film was "significantly deceptive".
The head of the BBC had already issued an apology, saying there had been "a major oversight in relation to factual correctness".
The authority has directed the BBC to air a peak-time declaration about its conclusions.
"As this represents a serious breach of our code, we are instructing the corporation to broadcast a statement of our findings against it on BBC Two at nine o'clock in the evening, with a schedule to be determined," the regulator stated.
'Risk to Undermine Trust'
The authority's statement stated: "Our investigation found that the programme's failure to disclose that the voice's father occupied a position in the Hamas-controlled authority was substantially inaccurate.
"It meant that the public did not have vital facts which may have been very significant to their evaluation of the voice and the details he presented.
"Trust is at the center of the connection between a television network and its public, especially for a national broadcasting corporation such as the public broadcaster.
"This error had the potential to undermine the significantly high levels of trust that the public would have placed in a documentary produced by the BBC about the conflict in Gaza."
The documentary was withdrawn from iPlayer in the month of February after the narrator's personal associations emerged, and in the month of July an broadcaster's internal assessment found it violated the broadcaster's journalistic standards on truthfulness.
A corporation official commented: "The authority's determination is in agreement with the findings of the internal assessment, that there was a significant failing in the programme in relation to the corporation's content standards on accuracy, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept the regulator's ruling in complete. We will adhere to the directive as soon as the schedule and wording are confirmed."