The British broadcaster was found to have committed a "significant breach" of media regulations by omitting to mention that the voice of a film about the Gaza situation was the son of a Hamas official, according to UK media regulator Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has concluded that the documentary was "significantly deceptive".
The chief executive of the broadcaster had already issued an apology, noting there had been "a serious error in relation to truthfulness".
The authority has directed the corporation to transmit a prime-time announcement about its decisions.
"As this represents a major infringement of our regulations, we are instructing the broadcaster to broadcast a announcement of our conclusions against it on BBC2 at nine o'clock in the evening, with a schedule to be determined," the statement read.
'Potential to Erode Confidence'
The watchdog's report declared: "Our probe found that the programme's lack of disclosure that the voice's parent served in a post in the Hamas-administered government was materially misleading.
"It meant that the viewers did not have essential details which may have been very significant to their judgment of the presenter and the information he presented.
"Confidence is at the center of the bond between a broadcaster and its audience, notably for a state-funded media outlet such as the BBC.
"This error had the possibility to erode the very considerable levels of credibility that the public would have placed in a documentary produced by the BBC about the Israel-Gaza war."
The film was removed from iPlayer in February after the narrator's familial connections were revealed, and in the month of July an internal BBC review concluded it infringed the corporation's content policies on factual correctness.
A corporation official said: "The Ofcom ruling is in accordance with the findings 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 expressed regret for this and we accept the authority's determination in its entirety. We will comply with the sanction as soon as the date and language are finalised."