The public service broadcaster was found to have committed a "significant breach" of broadcasting rules by failing to disclose that the voice of a film about the Gaza situation was the offspring of a Hamas administrator, as ruled by regulatory body Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The head of the BBC had already issued an apology, noting there had been "a significant failing in relation to factual correctness".
Ofcom has ordered the broadcaster to transmit a prime-time declaration about its conclusions.
"As this represents a serious breach of our code, we are ordering the corporation to transmit a message of our conclusions against it on BBC2 at 21:00, with a timing to be confirmed," it said.
'Potential to Damage Trust'
The regulator's statement declared: "The inquiry we conducted found that the documentary's failure to disclose that the narrator's parent served in a role in the Hamas-controlled government was substantially inaccurate.
"Consequently that the viewers did not have essential details which may have been extremely pertinent to their judgment of the presenter and the information he provided.
"Trust is at the core of the bond between a media organization and its public, especially for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the possibility to undermine the exceptionally strong degrees of trust that the public would have put in a BBC factual programme about the Israel-Gaza war."
The programme was pulled from iPlayer in February after the boy's family links came to light, and in this past July an broadcaster's internal assessment determined it breached the organization's editorial guidelines on factual correctness.
A BBC spokesperson stated: "The regulator's decision is in line with the results of Peter Johnston's review, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to clause 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with the authority's determination in its entirety. We will comply with the directive as soon as the date and wording are finalised."
