The British broadcaster was found to have committed a "major breach" of media regulations by not revealing that the presenter of a programme about Gaza was the son of a Hamas administrator, as determined by regulatory body Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The chief executive of the broadcaster had already issued an apology, saying there had been "a major oversight in relation to accuracy".
The regulator has directed the corporation to air a prime-time declaration about its conclusions.
"As this represents a serious breach of our regulations, we are ordering the corporation to air a statement of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a timing to be confirmed," the statement read.
'Risk to Undermine Trust'
The regulator's statement stated: "Our probe determined that the documentary's omission to reveal that the narrator's parent served in a role in the Hamas-run authority was materially misleading.
"It meant that the audience did not have vital facts which may have been extremely pertinent to their evaluation of the presenter and the content he presented.
"Credibility is at the core of the connection between a television network and its audience, especially for a state-funded media outlet such as the public broadcaster.
"This error had the potential to erode the significantly high amounts of confidence that audiences would have placed in a factual film from the broadcaster about the conflict in Gaza."
The programme was withdrawn from the BBC's streaming service in last February after the boy's personal associations came to light, and in this past July an broadcaster's internal assessment found it violated the corporation's content policies on truthfulness.
A representative for the broadcaster commented: "The authority's determination is in agreement with the results of the corporation's inquiry, that there was a major oversight in the programme in relation to the BBC's Editorial Guidelines on accuracy, which aligns with regulation 2.2 of the regulator's media standards.
"We issued an apology for this and we comply with the authority's determination in full. We will adhere to the directive as soon as the schedule and wording are determined."
