The public service broadcaster committed a "significant breach" of broadcasting rules by omitting to mention that the presenter of a documentary about the Gaza conflict was the son of a Hamas representative, as ruled by regulatory body Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The BBC's director general had earlier expressed regret, noting there had been "a serious error in relation to accuracy".
The authority has instructed the BBC to transmit a prime-time announcement about its findings.
"Given this constitutes a serious breach of our rules, we are ordering the broadcaster to broadcast a announcement of our findings against it on BBC Two at nine o'clock in the evening, with a timing to be determined," the statement read.
'Potential to Erode Confidence'
The authority's announcement said: "Our investigation found that the film's lack of disclosure that the presenter's father served in a post in the Hamas-administered administration was materially misleading.
"This implied that the public did not have vital facts which may have been very significant to their assessment of the presenter and the content he shared.
"Credibility is at the core of the bond between a broadcaster and its public, especially for a national broadcasting corporation such as the British Broadcasting Corporation.
"This failing had the potential to erode the very considerable amounts of confidence that the public would have placed in a BBC factual programme about the conflict in Gaza."
The documentary was removed from the BBC's streaming service in last February after the presenter's familial connections came to light, and in the month of July an internal BBC review concluded it infringed the organization's journalistic standards on truthfulness.
A corporation official stated: "The Ofcom ruling is in accordance with the findings of the corporation's inquiry, that there was a major oversight in the film in relation to the corporation's content standards on factual correctness, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept Ofcom's decision in its entirety. We will follow the directive as soon as the timing and wording are determined."