The British broadcaster engaged in a "significant breach" of media regulations by not revealing that the presenter of a film about the Gaza situation was the son of a Hamas administrator, as ruled by regulatory body Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the documentary was "materially misleading".
The chief executive of the broadcaster had previously apologised, stating there had been "a serious error in relation to accuracy".
The regulator has ordered the corporation to transmit a prime-time declaration about its decisions.
"Since this amounts to a serious breach of our code, we are ordering the corporation to air a announcement of our conclusions against it on BBC Two at nine o'clock in the evening, with a schedule to be confirmed," the regulator stated.
'Potential to Undermine Trust'
The authority's statement declared: "Our investigation concluded that the documentary's omission to reveal that the narrator's male guardian occupied a post in the Hamas-controlled administration was significantly deceptive.
"It meant that the viewers did not have vital facts which may have been very significant to their evaluation of the voice and the content he provided.
"Confidence is at the heart of the connection between a television network and its audience, especially for a national broadcasting corporation such as the British Broadcasting Corporation.
"This failing had the risk to erode the very considerable amounts of trust that the public would have invested in a BBC factual programme about the Israel-Gaza war."
The programme was withdrawn from iPlayer in the month of February after the boy's family links emerged, and in this past July an corporation's own inquiry concluded it violated the corporation's journalistic standards on truthfulness.
A BBC spokesperson commented: "The authority's determination is in agreement with the results of the corporation's inquiry, that there was a serious error in the documentary in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with Rule 2.2 of the regulator's media standards.
"We issued an apology for this and we accept Ofcom's decision in complete. We will adhere to the sanction as soon as the date and wording are finalised."