The British broadcaster committed a "serious breach" of industry standards by not revealing that the presenter of a film about Gaza was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has concluded that the programme was "significantly deceptive".
The BBC's director general had previously apologised, noting there had been "a major oversight in relation to factual correctness".
The authority has ordered the BBC to transmit a prime-time statement about its decisions.
"Given this constitutes a serious breach of our regulations, we are instructing the corporation to transmit a message of our findings against it on BBC2 at 9pm, with a date to be finalised," the statement read.
'Risk to Damage Confidence'
The authority's statement said: "Our probe found that the documentary's lack of disclosure that the voice's father served in a post in the Hamas-run government was substantially inaccurate.
"It meant that the public did not have essential details which may have been extremely pertinent to their evaluation of the voice and the details he presented.
"Credibility is at the center of the relationship between a television network and its audience, especially for a public service broadcaster such as the BBC.
"This oversight had the possibility to erode the significantly high levels of credibility that viewers would have put in a BBC factual programme about the conflict in Gaza."
The film was removed from the BBC's streaming service in the month of February after the narrator's familial connections emerged, and in this past July an internal BBC review found it violated the corporation's content policies on truthfulness.
A BBC spokesperson stated: "The regulator's decision is in agreement with the conclusions of the internal assessment, that there was a major oversight in the documentary in relation to the corporation's content standards on factual correctness, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we accept the regulator's ruling in its entirety. We will comply with the sanction as soon as the date and wording are finalised."