The British broadcaster was found to have committed a "major breach" of media regulations by not revealing that the presenter of a film about the Gaza conflict was the offspring of a Hamas administrator, as ruled by UK media regulator Ofcom.
An inquiry by Ofcom into the programme Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The BBC's director general had already issued an apology, stating there had been "a serious error in relation to accuracy".
The authority has directed the BBC to air a prime-time declaration about its conclusions.
"Since this amounts to a major infringement of our regulations, we are instructing the BBC to broadcast a statement of our conclusions against it on BBC2 at nine o'clock in the evening, with a schedule to be confirmed," the statement read.
'Potential to Damage Confidence'
The authority's statement said: "The inquiry we conducted found that the programme's omission to reveal that the voice's father held a role in the Hamas-run government was significantly deceptive.
"This implied that the audience did not have essential details which may have been extremely pertinent to their assessment of the narrator and the content he provided.
"Trust is at the heart of the connection between a media organization and its public, notably for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the risk to undermine the significantly high degrees of credibility that audiences would have invested in a documentary produced by the BBC about the conflict in Gaza."
The film was withdrawn from the BBC's streaming service in February after the narrator's personal associations came to light, and in July an internal BBC review concluded it breached the organization's content policies on factual correctness.
A BBC spokesperson commented: "The authority's determination is in accordance with the findings of Peter Johnston's review, that there was a serious error in the documentary in relation to the BBC's Editorial Guidelines on truthfulness, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we agree with the authority's determination in complete. We will adhere to the directive as soon as the schedule and language are determined."
