The public service broadcaster committed a "significant breach" of media regulations by not revealing that the voice of a documentary about Gaza was the child of a Hamas representative, as ruled by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has determined that the programme was "significantly deceptive".
The head of the BBC had already issued an apology, noting there had been "a major oversight in relation to truthfulness".
The authority has ordered the broadcaster to air a evening statement about its conclusions.
"As this represents a major infringement of our rules, we are instructing the BBC to transmit a announcement of our conclusions against it on the BBC's second channel at 9pm, with a timing to be determined," it said.
'Risk to Damage Confidence'
The authority's statement declared: "Our probe concluded that the documentary's omission to reveal that the narrator's father served in a position in the Hamas-administered administration was substantially inaccurate.
"Consequently that the viewers did not have vital facts which may have been extremely pertinent to their evaluation of the voice and the information he provided.
"Trust is at the heart of the connection between a broadcaster and its viewers, especially for a state-funded media outlet such as the public broadcaster.
"This oversight had the potential to undermine the exceptionally strong levels of confidence that viewers would have put in a BBC factual programme about the Israel-Gaza war."
The film was pulled from iPlayer in February after the boy's familial connections were revealed, and in the month of July an broadcaster's internal assessment determined it infringed the corporation's content policies on factual correctness.
A representative for the broadcaster said: "The Ofcom ruling is in line with the findings of the corporation's inquiry, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on factual correctness, which reflects 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 adhere to the directive as soon as the date and wording are confirmed."