The British broadcaster was found to have committed a "major breach" of broadcasting rules by omitting to mention that the voice of a programme about the Gaza situation was the son of a Hamas representative, as determined by regulatory body Ofcom.
An inquiry by Ofcom into the documentary titled Gaza: How to Survive a Warzone has found that the documentary was "materially misleading".
The head of the BBC had earlier expressed regret, saying there had been "a major oversight in relation to truthfulness".
The authority has ordered the BBC to air a peak-time statement about its findings.
"As this represents a significant violation of our rules, we are directing the corporation to air a message of our determinations against it on the BBC's second channel at 9pm, with a timing to be finalised," it said.
'Risk to Damage Trust'
The authority's statement stated: "Our probe found that the film's failure to disclose that the presenter's parent occupied a role in the Hamas-run authority was substantially inaccurate.
"This implied that the public did not have critical information which may have been highly relevant to their assessment of the voice and the content he shared.
"Confidence is at the center of the connection between a media organization and its viewers, notably for a public service broadcaster such as the public broadcaster.
"This failing had the possibility to damage the exceptionally strong levels of credibility that the public would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was withdrawn from iPlayer in February after the narrator's familial connections came to light, and in this past July an internal BBC review concluded it breached the broadcaster's journalistic standards on factual correctness.
A corporation official commented: "The regulator's decision is in accordance with the conclusions of the internal assessment, that there was a significant failing in the documentary in relation to the broadcaster's journalistic policies on accuracy, which aligns with regulation 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we accept the regulator's ruling in its entirety. We will follow the directive as soon as the schedule and language are finalised."