The public service broadcaster was found to have committed a "serious breach" of media regulations by not revealing that the narrator of a programme about Gaza was the son of a Hamas administrator, as ruled by UK media regulator Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has found that the documentary was "materially misleading".
The BBC's director general had earlier expressed regret, saying there had been "a major oversight in relation to truthfulness".
The authority has instructed the corporation to air a evening statement about its findings.
"As this represents a significant violation of our code, we are directing the broadcaster to air a message of our findings against it on the BBC's second channel at 21:00, with a schedule to be determined," it said.
'Risk to Damage Trust'
The authority's report said: "Our probe determined that the documentary's failure to disclose that the narrator's father held a role in the Hamas-administered administration was substantially inaccurate.
"Consequently that the public did not have critical information which may have been very significant to their judgment of the narrator and the information he provided.
"Credibility is at the core of the relationship between a television network and its public, especially for a public service broadcaster such as the BBC.
"This oversight had the risk to erode the exceptionally strong amounts of confidence that the public would have invested in a factual film from the broadcaster about the conflict in Gaza."
The film was removed from the BBC's streaming service in the month of February after the narrator's family links emerged, and in July an broadcaster's internal assessment found it violated the corporation's journalistic standards on factual correctness.
A BBC spokesperson stated: "The regulator's decision is in accordance with the findings of Peter Johnston's review, that there was a serious error in the documentary in relation to the broadcaster's journalistic policies on accuracy, which aligns with regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with the authority's determination in full. We will comply with the sanction as soon as the schedule and language are confirmed."
