The public service broadcaster committed a "significant breach" of media regulations by omitting to mention that the narrator of a documentary about Gaza was the son of a Hamas representative, as determined by UK media regulator Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has found that the programme was "substantially inaccurate".
The head of the BBC had earlier expressed regret, saying there had been "a significant failing in relation to truthfulness".
Ofcom has directed the corporation to broadcast a prime-time statement about its decisions.
"Given this constitutes a major infringement of our code, we are instructing the corporation to transmit a statement of our conclusions against it on BBC2 at nine o'clock in the evening, with a schedule to be confirmed," the statement read.
'Possibility to Erode Trust'
The regulator's announcement declared: "Our investigation concluded that the documentary's lack of disclosure that the narrator's father held a post in the Hamas-controlled authority was substantially inaccurate.
"It meant that the viewers did not have critical information which may have been highly relevant to their evaluation of the voice and the details he presented.
"Credibility is at the center of the relationship between a broadcaster and its audience, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This failing had the potential to undermine the very considerable amounts of trust that the public would have placed in a BBC factual programme about the Israel-Gaza war."
The film was withdrawn from iPlayer in the month of February after the presenter's personal associations were revealed, and in this past July an internal BBC review determined it breached the organization's editorial guidelines on factual correctness.
A BBC spokesperson stated: "The regulator's decision is in agreement with the conclusions of Peter Johnston's review, that there was a significant failing in the programme in relation to the corporation's content standards on truthfulness, which reflects regulation 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we agree with the authority's determination in its entirety. We will comply with the penalty as soon as the timing and wording are determined."
