The public service broadcaster committed a "major breach" of media regulations by not revealing that the presenter of a programme about the Gaza situation was the offspring of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The chief executive of the broadcaster had already issued an apology, noting there had been "a serious error in relation to accuracy".
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 BBC to air a announcement of our determinations against it on BBC2 at 9pm, with a timing to be confirmed," the statement read.
'Risk to Erode Confidence'
The regulator's announcement said: "Our investigation found that the documentary's omission to reveal that the voice's father held a position in the Hamas-controlled authority was materially misleading.
"Consequently that the viewers did not have critical information which may have been highly relevant to their judgment of the narrator and the details he provided.
"Trust is at the center of the relationship between a media organization and its public, notably for a state-funded media outlet such as the public broadcaster.
"This failing had the possibility to damage the very considerable amounts of credibility that viewers would have put in a factual film from the broadcaster about the conflict in Gaza."
The documentary was withdrawn from the BBC's streaming service in February after the boy's familial connections emerged, and in July an internal BBC review found it infringed the corporation's content policies on accuracy.
A representative for the broadcaster said: "The Ofcom ruling is in line with the conclusions of the internal assessment, that there was a major oversight in the programme in relation to the corporation's content standards on accuracy, which reflects Rule 2.2 of the regulator's media standards.
"We have apologised for this and we comply with Ofcom's decision in its entirety. We will comply with the directive as soon as the date and wording are determined."