The British broadcaster committed a "serious breach" of media regulations by omitting to mention that the voice of a documentary about the Gaza conflict was the child of a Hamas representative, as determined by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The BBC's director general had earlier expressed regret, noting there had been "a serious error in relation to accuracy".
The authority has ordered the BBC to transmit a peak-time statement about its findings.
"Since this amounts to a significant violation of our regulations, we are instructing the broadcaster to broadcast a statement of our determinations against it on BBC Two at 21:00, with a date to be confirmed," it said.
'Risk to Damage Trust'
The regulator's statement declared: "Our investigation found that the film's failure to disclose that the voice's parent held a role in the Hamas-controlled administration was materially misleading.
"Consequently that the public did not have vital facts which may have been highly relevant to their judgment of the presenter and the information he presented.
"Trust is at the center of the connection between a broadcaster and its viewers, notably for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the possibility to damage the exceptionally strong degrees of credibility that viewers would have placed in a factual film from the broadcaster about the Gaza conflict."
The film was withdrawn from the BBC's streaming service in last February after the narrator's personal associations emerged, and in the month of July an corporation's own inquiry concluded it violated the corporation's journalistic standards on truthfulness.
A corporation official commented: "The authority's determination is in agreement with the conclusions of Peter Johnston's review, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on factual correctness, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with the authority's determination in full. We will comply with the penalty as soon as the date and wording are finalised."