The public service broadcaster was found to have committed a "serious breach" of industry standards by omitting to mention that the narrator of a film about Gaza was the child of a Hamas official, as determined by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the programme was "materially misleading".
The chief executive of the broadcaster had previously apologised, noting there had been "a significant failing in relation to truthfulness".
Ofcom has ordered the corporation to transmit a evening statement about its decisions.
"Given this constitutes a significant violation of our rules, we are instructing the corporation to transmit a announcement of our determinations against it on BBC Two at 9pm, with a date to be finalised," it said.
'Possibility to Undermine Confidence'
The watchdog's statement declared: "Our investigation determined that the film's failure to disclose that the narrator's male guardian served in a post in the Hamas-controlled administration was materially misleading.
"It meant that the audience did not have critical information which may have been extremely pertinent to their evaluation of the voice and the information he provided.
"Credibility is at the core of the connection between a television network and its viewers, particularly for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the possibility to damage the exceptionally strong degrees of confidence that audiences would have placed in a BBC factual programme about the Gaza conflict."
The documentary was pulled from iPlayer in February after the boy's family links came to light, and in July an corporation's own inquiry concluded it infringed the organization's content policies on accuracy.
A BBC spokesperson said: "The authority's determination is in agreement with the results of Peter Johnston's review, that there was a significant failing in the programme in relation to the corporation's content standards on factual correctness, which corresponds to Rule 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we accept the regulator's ruling in its entirety. We will follow the directive as soon as the timing and wording are confirmed."
