The public service broadcaster engaged in a "significant breach" of industry standards by omitting to mention that the presenter of a documentary about the Gaza situation was the child of a Hamas official, as determined by UK media regulator Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has concluded that the documentary was "significantly deceptive".
The chief executive of the broadcaster had earlier expressed regret, noting there had been "a significant failing in relation to factual correctness".
The regulator has directed the corporation to broadcast a evening declaration about its decisions.
"Given this constitutes a major infringement of our code, we are directing the broadcaster to air a message of our conclusions against it on BBC Two at nine o'clock in the evening, with a date to be confirmed," it said.
'Potential to Erode Credibility'
The regulator's announcement stated: "The inquiry we conducted found that the documentary's omission to reveal that the voice's parent occupied a role in the Hamas-controlled administration was significantly deceptive.
"Consequently that the public did not have essential details which may have been extremely pertinent to their judgment of the presenter and the details he provided.
"Confidence is at the center of the relationship between a media organization and its viewers, especially for a public service broadcaster such as the British Broadcasting Corporation.
"This error had the potential to erode the very considerable amounts of credibility that audiences would have placed in a BBC factual programme about the conflict in Gaza."
The documentary was withdrawn from the BBC's streaming service in the month of February after the boy's familial connections came to light, and in the month of July an internal BBC review concluded it breached the broadcaster's editorial guidelines on accuracy.
A BBC spokesperson stated: "The regulator's decision is in accordance with the results of Peter Johnston's review, that there was a major oversight in the documentary in relation to the corporation's content standards on factual correctness, which reflects clause 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we comply with the authority's determination in complete. We will follow the directive as soon as the date and language are finalised."