The British broadcaster committed a "serious breach" of industry standards by omitting to mention that the voice of a film about Gaza was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An investigation by Ofcom into the documentary titled Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The head of the BBC had previously apologised, noting there had been "a significant failing in relation to truthfulness".
The authority has instructed the corporation to air a peak-time declaration about its decisions.
"As this represents a major infringement of our regulations, we are directing the corporation to air a statement of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a timing to be finalised," it said.
'Potential to Erode Credibility'
The regulator's announcement declared: "The inquiry we conducted determined that the documentary's lack of disclosure that the presenter's parent held a role in the Hamas-run administration was materially misleading.
"Consequently that the viewers did not have essential details which may have been very significant to their evaluation of the narrator and the information he provided.
"Confidence is at the center of the connection between a television network and its audience, particularly for a public service broadcaster such as the BBC.
"This failing had the risk to undermine the exceptionally strong degrees of trust that viewers would have invested in a BBC factual programme about the conflict in Gaza."
The film was withdrawn from iPlayer in February after the presenter's family links were revealed, and in the month of July an broadcaster's internal assessment found it violated the corporation's content policies on truthfulness.
A corporation official stated: "The authority's determination is in agreement with the conclusions of the internal assessment, that there was a serious error in the film in relation to the broadcaster's journalistic policies on accuracy, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept Ofcom's decision in complete. We will adhere to the penalty as soon as the date and language are finalised."
