The British broadcaster engaged in a "serious breach" of broadcasting rules by failing to disclose that the narrator of a programme about Gaza was the child of a Hamas official, as determined by UK media regulator Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
The head of the BBC had already issued an apology, noting there had been "a major oversight in relation to factual correctness".
The regulator has directed the broadcaster to air a prime-time statement about its conclusions.
"Since this amounts to a significant violation of our regulations, we are directing the BBC to broadcast a message of our conclusions against it on BBC2 at 9pm, with a date to be confirmed," the statement read.
'Possibility to Undermine Trust'
The authority's statement stated: "Our investigation determined that the programme's failure to disclose that the presenter's parent served in a position in the Hamas-administered administration was substantially inaccurate.
"This implied that the public did not have critical information which may have been very significant to their judgment of the narrator and the information he provided.
"Confidence is at the heart of the relationship between a media organization and its audience, especially for a national broadcasting corporation such as the BBC.
"This oversight had the risk to erode the exceptionally strong degrees of trust that audiences would have put in a BBC factual programme about the Israel-Gaza war."
The programme was removed from the BBC's streaming service in last February after the boy's family links were revealed, and in July an broadcaster's internal assessment found it infringed the broadcaster's content policies on factual correctness.
A corporation official commented: "The regulator's decision is in agreement with the results of the corporation's inquiry, that there was a significant failing in the film in relation to the corporation's content standards on truthfulness, which reflects regulation 2.2 of the regulator's media standards.
"We have apologised for this and we accept the authority's determination in complete. We will comply with the directive as soon as the date and wording are confirmed."