The public service broadcaster was found to have committed a "significant breach" of media regulations by omitting to mention that the narrator of a documentary about the Gaza conflict was the offspring of a Hamas administrator, as ruled by UK media regulator Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The BBC's director general had already issued an apology, stating there had been "a significant failing in relation to factual correctness".
The regulator has instructed the BBC to transmit a prime-time statement about its findings.
"Given this constitutes a significant violation of our code, we are instructing the corporation to air a statement of our determinations against it on BBC2 at 9pm, with a timing to be confirmed," the statement read.
'Potential to Undermine Trust'
The regulator's report declared: "Our probe found that the film's failure to disclose that the voice's male guardian served in a role in the Hamas-run authority was substantially inaccurate.
"Consequently that the audience did not have vital facts which may have been extremely pertinent to their judgment of the voice and the details he shared.
"Trust is at the core of the connection between a broadcaster and its audience, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the potential to erode the significantly high amounts of credibility that viewers would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The film was pulled from the online platform in last February after the presenter's familial connections were revealed, and in this past July an corporation's own inquiry found it breached the organization's editorial guidelines on truthfulness.
A corporation official said: "The regulator's decision is in agreement with the findings of the internal assessment, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on accuracy, which reflects Rule 2.2 of the regulator's media standards.
"We have apologised for this and we accept the regulator's ruling in full. We will comply with the penalty as soon as the schedule and wording are determined."