The public service broadcaster was found to have committed a "serious breach" of industry standards by failing to disclose that the narrator of a film about Gaza was the child of a Hamas representative, as ruled by regulatory body Ofcom.
An inquiry by Ofcom into the documentary titled Gaza: How to Survive a Warzone has determined that the programme was "materially misleading".
The head of the BBC had earlier expressed regret, stating there had been "a significant failing in relation to truthfulness".
The authority has instructed the broadcaster to transmit a peak-time statement about its decisions.
"As this represents a significant violation of our code, we are directing the BBC to broadcast a statement of our determinations against it on the BBC's second channel at 21:00, with a timing to be determined," the statement read.
'Possibility to Undermine Trust'
The regulator's announcement said: "The inquiry we conducted determined that the film's omission to reveal that the voice's male guardian served in a role in the Hamas-administered government was significantly deceptive.
"This implied that the audience did not have vital facts which may have been highly relevant to their evaluation of the narrator and the information he presented.
"Trust is at the center of the bond between a television network and its public, especially for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the potential to undermine the significantly high degrees of credibility that audiences would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The film was removed from iPlayer in last February after the presenter's familial connections emerged, and in the month of July an corporation's own inquiry concluded it infringed the organization's content policies on truthfulness.
A BBC spokesperson stated: "The authority's determination is in accordance with the results of the internal assessment, that there was a serious error in the film in relation to the corporation's content standards on accuracy, which corresponds to Rule 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we comply with Ofcom's decision in full. We will comply with the penalty as soon as the date and wording are finalised."