The British broadcaster engaged in a "significant breach" of broadcasting rules by omitting to mention that the narrator of a documentary about the Gaza situation was the son of a Hamas administrator, 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 "significantly deceptive".
The BBC's director general had previously apologised, saying there had been "a serious error in relation to accuracy".
Ofcom has ordered the broadcaster to broadcast a prime-time statement about its findings.
"As this represents a significant violation of our code, we are directing the broadcaster to air a message of our findings against it on BBC Two at nine o'clock in the evening, with a date to be determined," the statement read.
'Potential to Erode Confidence'
The regulator's announcement said: "Our probe determined that the programme's lack of disclosure that the presenter's father occupied a post in the Hamas-administered government was substantially inaccurate.
"It meant that the audience did not have vital facts which may have been very significant to their judgment of the voice and the content he presented.
"Credibility is at the core of the connection between a broadcaster and its public, notably for a national broadcasting corporation such as the public broadcaster.
"This error had the risk to undermine the significantly high levels of credibility that audiences would have put in a BBC factual programme about the Gaza conflict."
The documentary was withdrawn from the BBC's streaming service in last February after the presenter's family links were revealed, and in July an corporation's own inquiry concluded it infringed the corporation's journalistic standards on accuracy.
A BBC spokesperson stated: "The authority's determination is in line with the results of the corporation's inquiry, that there was a significant failing in the documentary in relation to the corporation's content standards on truthfulness, which corresponds to clause 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we comply with Ofcom's decision in complete. We will comply with the penalty as soon as the schedule and wording are finalised."
