The public service broadcaster was found to have committed a "serious breach" of industry standards by not revealing that the voice of a documentary about the Gaza situation was the offspring of a Hamas representative, as ruled by British broadcasting authority Ofcom.
An inquiry by the media regulator into the documentary titled Gaza: How to Survive a Warzone has determined that the documentary was "substantially inaccurate".
The chief executive of the broadcaster had previously apologised, noting there had been "a significant failing in relation to accuracy".
The regulator has instructed the broadcaster to air a evening announcement about its findings.
"Since this amounts to a serious breach of our regulations, we are instructing the broadcaster to broadcast a announcement of our determinations against it on BBC2 at 21:00, with a schedule to be confirmed," the statement read.
'Potential to Erode Credibility'
The regulator's report said: "The inquiry we conducted concluded that the film's lack of disclosure that the presenter's parent held a role in the Hamas-run administration was materially misleading.
"This implied that the public did not have essential details which may have been extremely pertinent to their judgment of the presenter and the content he provided.
"Confidence is at the heart of the connection between a television network and its audience, notably for a national broadcasting corporation such as the BBC.
"This error had the risk to undermine the significantly high amounts of confidence that viewers would have put in a BBC factual programme about the conflict in Gaza."
The film was withdrawn from the online platform in the month of February after the presenter's family links were revealed, and in July an internal BBC review concluded it breached the corporation's journalistic standards on truthfulness.
A representative for the broadcaster said: "The Ofcom ruling is in accordance with the findings of the internal assessment, that there was a serious error in the documentary in relation to the BBC's Editorial Guidelines on accuracy, which corresponds to clause 2.2 of the regulator's media standards.
"We have apologised for this and we accept the regulator's ruling in complete. We will adhere to the penalty as soon as the date and wording are determined."