The public service broadcaster engaged in a "serious breach" of broadcasting rules by failing to disclose that the presenter of a documentary about the Gaza situation was the son of a Hamas representative, as ruled by UK media regulator Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has concluded that the programme was "significantly deceptive".
The chief executive of the broadcaster had previously apologised, saying there had been "a significant failing in relation to truthfulness".
Ofcom has ordered the corporation to transmit a prime-time announcement about its findings.
"Since this amounts to a serious breach of our code, we are ordering the broadcaster to air a announcement of our determinations against it on BBC Two at 9pm, with a date to be determined," the statement read.
'Risk to Damage Confidence'
The watchdog's announcement said: "The inquiry we conducted found that the film's failure to disclose that the presenter's parent served in a post in the Hamas-controlled authority was significantly deceptive.
"Consequently that the audience did not have critical information which may have been very significant to their evaluation of the presenter and the content he shared.
"Confidence is at the heart of the connection between a broadcaster and its public, particularly for a public service broadcaster such as the British Broadcasting Corporation.
"This oversight had the possibility to damage the significantly high degrees of confidence that the public would have put in a factual film from the broadcaster about the conflict in Gaza."
The documentary was removed from iPlayer in last February after the presenter's personal associations emerged, and in this past July an internal BBC review found it breached the broadcaster's editorial guidelines on accuracy.
A representative for the broadcaster commented: "The regulator's decision is in agreement with the conclusions of Peter Johnston's review, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on factual correctness, which reflects clause 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with Ofcom's decision in its entirety. We will follow the penalty as soon as the timing and wording are finalised."