The British broadcaster committed a "serious breach" of industry standards by omitting to mention that the presenter of a programme about Gaza was the child of a Hamas administrator, as determined by regulatory body Ofcom.
An investigation by the media regulator into the programme Gaza: How to Survive a Warzone has determined that the programme was "substantially inaccurate".
The chief executive of the broadcaster had earlier expressed regret, noting there had been "a serious error in relation to accuracy".
The authority has directed the broadcaster to air a peak-time announcement about its conclusions.
"Given this constitutes a major infringement of our regulations, we are ordering the corporation to broadcast a announcement of our conclusions against it on BBC Two at nine o'clock in the evening, with a date to be determined," the statement read.
'Potential to Undermine Credibility'
The regulator's report said: "Our probe concluded that the programme's lack of disclosure that the presenter's male guardian held a position in the Hamas-run government was significantly deceptive.
"Consequently that the public did not have vital facts which may have been very significant to their assessment of the narrator and the content he provided.
"Confidence is at the center of the connection between a broadcaster and its audience, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This failing had the possibility to erode the exceptionally strong levels of confidence that viewers would have placed in a BBC factual programme about the Israel-Gaza war."
The documentary was withdrawn from the BBC's streaming service in the month of February after the boy's family links came to light, and in this past July an internal BBC review concluded it violated the organization's content policies on factual correctness.
A representative for the broadcaster said: "The authority's determination is in agreement with the findings of Peter Johnston's review, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on accuracy, which reflects clause 2.2 of the regulator's media standards.
"We have apologised for this and we comply with the regulator's ruling in full. We will comply with the directive as soon as the timing and language are confirmed."
