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 conflict was the child of a Hamas official, according to UK media regulator Ofcom.
An probe by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has determined that the programme was "substantially inaccurate".
The head of the BBC had previously apologised, saying there had been "a major oversight in relation to accuracy".
The authority has directed the broadcaster to broadcast a peak-time announcement about its conclusions.
"As this represents a serious breach of our code, we are instructing the corporation to broadcast a message of our determinations against it on BBC Two at nine o'clock in the evening, with a timing to be finalised," the regulator stated.
'Risk to Erode Credibility'
The regulator's statement declared: "The inquiry we conducted determined that the film's lack of disclosure that the narrator's father occupied a role in the Hamas-run administration was substantially inaccurate.
"Consequently that the public did not have essential details which may have been extremely pertinent to their judgment of the narrator and the details he presented.
"Credibility is at the heart of the bond between a media organization and its viewers, especially for a national broadcasting corporation such as the public broadcaster.
"This oversight had the potential to undermine the significantly high degrees of confidence that audiences would have put in a factual film from the broadcaster about the conflict in Gaza."
The programme was withdrawn from the online platform in the month of February after the presenter's family links came to light, and in the month of July an internal BBC review found it violated the broadcaster's content policies on factual correctness.
A BBC spokesperson said: "The regulator's decision is in agreement with the findings of Peter Johnston's review, that there was a significant failing in the documentary in relation to the broadcaster's journalistic policies on truthfulness, which reflects clause 2.2 of the regulator's media standards.
"We have apologised for this and we accept the authority's determination in full. We will follow the penalty as soon as the schedule and wording are determined."