The public service broadcaster was found to have committed a "major breach" of broadcasting rules by not revealing that the narrator of a film about the Gaza situation was the child of a Hamas administrator, as ruled by British broadcasting authority Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The chief executive of the broadcaster had previously apologised, stating there had been "a major oversight in relation to truthfulness".
Ofcom has directed the broadcaster to broadcast a prime-time statement about its decisions.
"As this represents a significant violation of our code, we are directing the BBC to transmit a statement of our findings against it on BBC Two at 21:00, with a timing to be confirmed," the regulator stated.
'Possibility to Undermine Credibility'
The authority's report stated: "The inquiry we conducted found that the documentary's failure to disclose that the narrator's father served in a role in the Hamas-run administration was materially misleading.
"This implied that the viewers did not have vital facts which may have been highly relevant to their judgment of the presenter and the details he provided.
"Confidence is at the heart of the relationship between a broadcaster and its viewers, particularly for a state-funded media outlet such as the British Broadcasting Corporation.
"This failing had the possibility to erode the significantly high amounts of trust that audiences would have put in a BBC factual programme about the Gaza conflict."
The documentary was withdrawn from iPlayer in February after the boy's family links emerged, and in this past July an broadcaster's internal assessment concluded it infringed the broadcaster's journalistic standards on truthfulness.
A representative for the broadcaster said: "The Ofcom ruling is in agreement with the results of Peter Johnston's review, that there was a serious error in the programme in relation to the corporation's content standards on factual correctness, which reflects clause 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we accept the regulator's ruling in full. We will follow the directive as soon as the schedule and wording are confirmed."