The public service broadcaster committed a "serious breach" of media regulations by failing to disclose that the voice of a film about the Gaza conflict was the child of a Hamas administrator, as ruled by UK media regulator Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The chief executive of the broadcaster had earlier expressed regret, stating there had been "a major oversight in relation to accuracy".
Ofcom has ordered the corporation to broadcast a peak-time statement about its findings.
"Given this constitutes a major infringement of our regulations, we are ordering the BBC to air a statement of our conclusions against it on BBC Two at nine o'clock in the evening, with a schedule to be confirmed," the regulator stated.
'Risk to Undermine Credibility'
The authority's announcement stated: "The inquiry we conducted determined that the documentary's failure to disclose that the voice's male guardian held a post in the Hamas-administered administration was substantially inaccurate.
"This implied that the public did not have essential details which may have been highly relevant to their assessment of the voice and the details he shared.
"Credibility is at the core of the bond between a broadcaster and its viewers, particularly for a national broadcasting corporation such as the public broadcaster.
"This oversight had the potential to damage the exceptionally strong degrees of trust that viewers would have put in a documentary produced by the BBC about the Gaza conflict."
The film was withdrawn from the BBC's streaming service in February after the presenter's familial connections were revealed, and in July an broadcaster's internal assessment determined it breached the organization's journalistic standards on factual correctness.
A representative for the broadcaster said: "The regulator's decision is in agreement with the findings of Peter Johnston's review, that there was a major oversight in the programme in relation to the BBC's Editorial Guidelines on truthfulness, which reflects Rule 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we accept Ofcom's decision in complete. We will adhere to the sanction as soon as the timing and wording are confirmed."