The public service broadcaster was found to have committed a "significant breach" of broadcasting rules by not revealing that the voice of a film about Gaza was the child of a Hamas administrator, as determined by UK media regulator Ofcom.
An probe by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The chief executive of the broadcaster had previously apologised, noting there had been "a serious error in relation to accuracy".
The regulator has directed the corporation to broadcast a peak-time statement about its conclusions.
"Since this amounts to a major infringement of our regulations, we are directing the BBC to air a message of our determinations against it on BBC2 at 9pm, with a date to be determined," it said.
'Possibility to Erode Trust'
The authority's report said: "The inquiry we conducted found that the documentary's lack of disclosure that the presenter's male guardian held a position in the Hamas-administered administration was substantially inaccurate.
"Consequently that the audience did not have critical information which may have been very significant to their assessment of the voice and the information he presented.
"Confidence is at the core of the relationship between a television network and its public, especially for a state-funded media outlet such as the British Broadcasting Corporation.
"This error had the possibility to damage the exceptionally strong amounts of trust that audiences would have invested in a factual film from the broadcaster about the Gaza conflict."
The documentary was withdrawn from iPlayer in February after the boy's family links emerged, and in the month of July an internal BBC review concluded it breached the broadcaster's editorial guidelines on accuracy.
A corporation official stated: "The regulator's decision is in accordance with the results of the corporation's inquiry, that there was a major oversight in the programme in relation to the corporation's content standards on accuracy, which aligns with clause 2.2 of the regulator's media standards.
"We expressed regret for this and we accept the regulator's ruling in full. We will follow the directive as soon as the timing and language are determined."