The British broadcaster committed a "major breach" of broadcasting rules by omitting to mention that the voice of a documentary about the Gaza situation was the son of a Hamas official, as ruled by regulatory body Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the programme was "materially misleading".
The head of the BBC had previously apologised, saying there had been "a serious error in relation to truthfulness".
The regulator has instructed the broadcaster to transmit a prime-time declaration about its decisions.
"Since this amounts to a major infringement of our code, we are directing the corporation to air a announcement of our conclusions against it on BBC Two at 21:00, with a timing to be confirmed," the regulator stated.
'Possibility to Damage Credibility'
The authority's announcement said: "The inquiry we conducted concluded that the film's lack of disclosure that the narrator's parent held a role in the Hamas-run administration was materially misleading.
"It meant that the viewers did not have essential details which may have been extremely pertinent to their judgment of the voice and the details he presented.
"Confidence is at the heart of the bond between a broadcaster and its public, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the risk to erode the exceptionally strong levels of credibility that viewers would have placed in a documentary produced by the BBC about the Gaza conflict."
The programme was removed from iPlayer in last February after the boy's family links emerged, and in July an internal BBC review concluded it breached the corporation's editorial guidelines on accuracy.
A BBC spokesperson commented: "The regulator's decision is in line with the conclusions of the internal assessment, that there was a major oversight in the documentary in relation to the broadcaster's journalistic policies on accuracy, which aligns with Rule 2.2 of the regulator's media standards.
"We have apologised for this and we comply with the authority's determination in its entirety. We will adhere to the directive as soon as the schedule and language are finalised."