The public service broadcaster was found to have committed a "major breach" of broadcasting rules by failing to disclose that the narrator of a film about the Gaza situation was the child of a Hamas official, according to UK media regulator Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the documentary was "significantly deceptive".
The chief executive of the broadcaster had earlier expressed regret, saying there had been "a major oversight in relation to factual correctness".
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 ordering the corporation to broadcast a message of our determinations against it on BBC2 at nine o'clock in the evening, with a date to be determined," the statement read.
'Potential to Erode Confidence'
The authority's announcement stated: "The inquiry we conducted concluded that the documentary's failure to disclose that the narrator's male guardian served in a role in the Hamas-run authority was significantly deceptive.
"It meant that the viewers did not have vital facts which may have been highly relevant to their judgment of the presenter and the content he shared.
"Confidence is at the core of the connection between a television network and its audience, particularly for a state-funded media outlet such as the British Broadcasting Corporation.
"This failing had the risk to erode the exceptionally strong degrees of trust that the public would have put in a documentary produced by the BBC about the Gaza conflict."
The film was removed from the BBC's streaming service in last February after the narrator's familial connections came to light, and in the month of July an corporation's own inquiry concluded it violated the corporation's journalistic standards on factual correctness.
A corporation official said: "The authority's determination is in agreement with the conclusions of the internal assessment, that there was a serious error in the documentary in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to clause 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept the regulator's ruling in full. We will adhere to the directive as soon as the schedule and wording are finalised."