The British broadcaster was found to have committed a "major breach" of industry standards by not revealing that the presenter of a programme about the Gaza situation was the offspring of a Hamas official, as determined by UK media regulator Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The BBC's director general had previously apologised, stating there had been "a serious error in relation to accuracy".
The authority has directed the broadcaster to air a peak-time statement about its conclusions.
"Given this constitutes a significant violation of our code, we are directing the BBC to broadcast a announcement of our conclusions against it on BBC Two at nine o'clock in the evening, with a date to be finalised," it said.
'Potential to Damage Credibility'
The authority's report stated: "Our probe found that the film's failure to disclose that the voice's parent held a position in the Hamas-run government was significantly deceptive.
"Consequently that the public did not have vital facts which may have been highly relevant to their evaluation of the narrator and the content he provided.
"Trust is at the heart of the relationship between a media organization and its audience, especially for a state-funded media outlet such as the public broadcaster.
"This oversight had the possibility to damage the very considerable degrees of credibility that viewers would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was removed from iPlayer in February after the narrator's familial connections were revealed, and in the month of July an internal BBC review found it violated the organization's content policies on truthfulness.
A BBC spokesperson said: "The Ofcom ruling is in agreement with the results of the corporation's inquiry, that there was a major oversight in the programme in relation to the corporation's content standards on factual correctness, which reflects clause 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with Ofcom's decision in its entirety. We will adhere to the directive as soon as the date and language are confirmed."
