The public service broadcaster was found to have committed a "serious breach" of media regulations by not revealing that the voice of a film about Gaza was the offspring of a Hamas administrator, according to British broadcasting authority Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The BBC's director general had already issued an apology, saying there had been "a serious error in relation to accuracy".
The authority has ordered the broadcaster to broadcast a prime-time declaration about its decisions.
"Since this amounts to a significant violation of our regulations, we are instructing the BBC to broadcast a message of our conclusions against it on the BBC's second channel at nine o'clock in the evening, with a date to be determined," it said.
'Risk to Undermine Confidence'
The regulator's report said: "Our investigation determined that the documentary's omission to reveal that the narrator's parent served in a post in the Hamas-administered authority was significantly deceptive.
"This implied that the viewers did not have vital facts which may have been very significant to their judgment of the narrator and the details he presented.
"Credibility is at the center of the bond between a television network and its audience, especially for a national broadcasting corporation such as the BBC.
"This oversight had the potential to undermine the significantly high amounts of trust that audiences would have invested in a BBC factual programme about the conflict in Gaza."
The programme was pulled from iPlayer in the month of February after the narrator's personal associations emerged, and in this past July an internal BBC review determined it violated the organization's journalistic standards on accuracy.
A corporation official said: "The Ofcom ruling is in line with the results of the internal assessment, 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 Ofcom's Broadcasting Code.
"We issued an apology for this and we accept the authority's determination in complete. We will comply with the directive as soon as the date and wording are confirmed."