The public service broadcaster engaged in a "major breach" of media regulations by failing to disclose that the voice of a film about the Gaza situation was the offspring of a Hamas representative, according to UK media regulator Ofcom.
An inquiry by Ofcom into the programme Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
The head of the BBC had earlier expressed regret, stating there had been "a serious error in relation to truthfulness".
Ofcom has ordered the corporation to transmit a evening statement about its findings.
"Given this constitutes a serious breach of our regulations, we are instructing the broadcaster to broadcast a statement of our determinations against it on BBC2 at 21:00, with a timing to be confirmed," it said.
'Potential to Damage Credibility'
The watchdog's report said: "The inquiry we conducted found that the documentary's lack of disclosure that the presenter's parent held a position in the Hamas-run administration was substantially inaccurate.
"Consequently that the audience did not have vital facts which may have been very significant to their assessment of the presenter and the details he presented.
"Confidence is at the heart of the bond between a broadcaster and its viewers, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This oversight had the risk to erode the exceptionally strong degrees of confidence that audiences would have invested in a BBC factual programme about the Israel-Gaza war."
The programme was withdrawn from the online platform in February after the narrator's family links came to light, and in the month of July an broadcaster's internal assessment concluded it breached the corporation's editorial guidelines on truthfulness.
A BBC spokesperson said: "The regulator's decision is in line with the findings of the internal assessment, that there was a serious error in the film in relation to the corporation's content standards on factual correctness, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we accept the authority's determination in complete. We will adhere to the sanction as soon as the schedule and wording are confirmed."