The public service broadcaster was found to have committed a "significant breach" of industry standards by failing to disclose that the narrator of a programme about Gaza was the offspring of a Hamas administrator, as ruled by regulatory body Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has determined that the film was "significantly deceptive".
The head of the BBC had earlier expressed regret, saying there had been "a major oversight in relation to truthfulness".
The authority has instructed the broadcaster to transmit a evening declaration about its conclusions.
"Since this amounts to a major infringement of our regulations, we are ordering the corporation to transmit a message of our determinations against it on BBC Two at nine o'clock in the evening, with a schedule to be finalised," the statement read.
'Potential to Damage Confidence'
The watchdog's announcement said: "Our probe determined that the film's omission to reveal that the voice's male guardian served in a post in the Hamas-run government was significantly deceptive.
"Consequently that the audience did not have vital facts which may have been extremely pertinent to their judgment of the presenter and the details he presented.
"Confidence is at the heart of the bond between a broadcaster and its viewers, especially for a state-funded media outlet such as the public broadcaster.
"This error had the risk to erode the significantly high amounts of confidence that the public would have invested in a documentary produced by the BBC about the Gaza conflict."
The documentary was pulled from iPlayer in the month of February after the presenter's personal associations emerged, and in this past July an broadcaster's internal assessment found it breached the broadcaster's content policies on factual correctness.
A representative for the broadcaster said: "The regulator's decision is in line with the results of the corporation's inquiry, that there was a serious error in the programme in relation to the broadcaster's journalistic policies on accuracy, which aligns with clause 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we comply with the regulator's ruling in its entirety. We will comply with the sanction as soon as the timing and wording are confirmed."