The British broadcaster was found to have committed a "major breach" of broadcasting rules by omitting to mention that the presenter of a documentary about the Gaza situation was the child of a Hamas administrator, as ruled by UK media regulator Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The chief executive of the broadcaster had earlier expressed regret, saying there had been "a serious error in relation to truthfulness".
The authority has instructed the broadcaster to air a peak-time announcement about its conclusions.
"As this represents a major infringement of our regulations, we are instructing the BBC to transmit a statement of our findings against it on BBC Two at 21:00, with a timing to be confirmed," the statement read.
'Risk to Damage Trust'
The regulator's report said: "The inquiry we conducted concluded that the film's failure to disclose that the voice's father held a post in the Hamas-controlled government was significantly deceptive.
"Consequently that the public did not have vital facts which may have been highly relevant to their judgment of the narrator and the details he provided.
"Confidence is at the heart of the bond between a media organization and its public, especially for a public service broadcaster such as the public broadcaster.
"This error had the potential to damage the very considerable amounts of credibility that audiences would have put in a BBC factual programme about the Gaza conflict."
The programme was pulled from the BBC's streaming service in last February after the narrator's family links were revealed, and in this past July an corporation's own inquiry concluded it violated the corporation's content policies on truthfulness.
A corporation official said: "The regulator's decision is in agreement with the conclusions of Peter Johnston's review, that there was a major oversight in the documentary in relation to the broadcaster's journalistic policies on truthfulness, which aligns with Rule 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with the regulator's ruling in full. We will comply with the directive as soon as the schedule and wording are finalised."
