The British broadcaster was found to have committed a "major breach" of media regulations by omitting to mention that the presenter of a programme about the Gaza situation was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An inquiry by the media regulator into the documentary titled Gaza: How to Survive a Warzone has determined that the programme was "materially misleading".
The chief executive of the broadcaster had earlier expressed regret, stating there had been "a major oversight in relation to accuracy".
The regulator has ordered the broadcaster to transmit a peak-time announcement about its decisions.
"Given this constitutes a serious breach of our regulations, we are directing the BBC to transmit a message of our determinations against it on BBC Two at 9pm, with a timing to be determined," the statement read.
'Potential to Erode Confidence'
The authority's announcement stated: "The inquiry we conducted determined that the documentary's lack of disclosure that the narrator's male guardian served in a position in the Hamas-controlled administration was materially misleading.
"This implied that the viewers did not have vital facts which may have been very significant to their evaluation of the narrator and the information he provided.
"Credibility is at the center of the connection between a television network and its viewers, particularly for a national broadcasting corporation such as the public broadcaster.
"This error had the possibility to erode the very considerable levels of confidence that viewers would have put in a BBC factual programme about the conflict in Gaza."
The film was withdrawn from iPlayer in February after the boy's personal associations were revealed, and in July an broadcaster's internal assessment concluded it infringed the broadcaster's journalistic standards on factual correctness.
A representative for the broadcaster commented: "The Ofcom ruling is in agreement with the results of the corporation's inquiry, that there was a major oversight in the programme in relation to the BBC's Editorial Guidelines on accuracy, which reflects regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we comply with the authority's determination in complete. We will follow the directive as soon as the timing and wording are confirmed."