The public service broadcaster engaged in a "major breach" of industry standards by not revealing that the presenter of a programme about Gaza was the offspring of a Hamas administrator, as ruled by UK media regulator Ofcom.
An probe by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The head of the BBC had previously apologised, saying there had been "a significant failing in relation to accuracy".
The authority has ordered the corporation to air a peak-time statement about its decisions.
"Since this amounts to a major infringement of our regulations, we are instructing the broadcaster to transmit a announcement of our determinations against it on BBC Two at nine o'clock in the evening, with a schedule to be confirmed," it said.
'Potential to Undermine Trust'
The watchdog's statement said: "Our probe found that the documentary's failure to disclose that the narrator's father held a position in the Hamas-administered government was substantially inaccurate.
"It meant that the public did not have essential details which may have been highly relevant to their evaluation of the presenter and the content he provided.
"Credibility is at the heart of the connection between a television network and its viewers, particularly for a national broadcasting corporation such as the public broadcaster.
"This failing had the possibility to erode the significantly high amounts of trust that viewers would have placed in a BBC factual programme about the conflict in Gaza."
The film was removed from iPlayer in the month of February after the presenter's personal associations came to light, and in July an corporation's own inquiry determined it violated the corporation's content policies on truthfulness.
A BBC spokesperson stated: "The Ofcom ruling is in agreement with the findings of Peter Johnston's review, that there was a serious error in the programme in relation to the corporation's content standards on factual correctness, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with the authority's determination in complete. We will comply with the sanction as soon as the timing and wording are finalised."
