The public service broadcaster was found to have committed a "serious breach" of industry standards by omitting to mention that the presenter of a programme about Gaza was the son of a Hamas administrator, according to UK media regulator Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the programme was "materially misleading".
The BBC's director general had previously apologised, noting there had been "a major oversight in relation to factual correctness".
The regulator has directed the corporation to broadcast a prime-time declaration about its decisions.
"Since this amounts to a serious breach of our code, we are ordering the BBC to air a statement of our findings against it on the BBC's second channel at 9pm, with a timing to be determined," it said.
'Possibility to Erode Confidence'
The authority's statement said: "Our investigation found that the documentary's lack of disclosure that the narrator's parent served in a position in the Hamas-controlled administration was substantially inaccurate.
"Consequently that the viewers did not have vital facts which may have been extremely pertinent to their judgment of the voice and the details he presented.
"Credibility is at the center of the connection between a media organization and its viewers, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the risk to erode the significantly high levels of credibility that audiences would have invested in a BBC factual programme about the Gaza conflict."
The programme was removed from the online platform in February after the presenter's family links came to light, and in this past July an internal BBC review found it violated the broadcaster's journalistic standards on truthfulness.
A corporation official said: "The regulator's decision is in accordance with the findings of Peter Johnston's review, that there was a serious error in the programme in relation to the corporation's content standards on accuracy, which aligns with clause 2.2 of the regulator's media standards.
"We issued an apology for this and we accept the regulator's ruling in complete. We will follow the sanction as soon as the date and wording are finalised."
