The public service broadcaster was found to have committed a "significant breach" of media regulations by failing to disclose that the narrator of a programme about Gaza was the child of a Hamas official, according to British broadcasting authority Ofcom.
An investigation by the media regulator into the programme Gaza: How to Survive a Warzone has found that the documentary was "materially misleading".
The head of the BBC had earlier expressed regret, noting there had been "a significant failing in relation to factual correctness".
The regulator has ordered the corporation to air a evening announcement about its decisions.
"As this represents a serious breach of our regulations, we are instructing the corporation to air a announcement of our conclusions against it on BBC Two at 9pm, with a date to be confirmed," the statement read.
'Possibility to Undermine Credibility'
The watchdog's announcement declared: "The inquiry we conducted determined that the documentary's omission to reveal that the narrator's parent occupied a role in the Hamas-controlled government was substantially inaccurate.
"It meant that the audience did not have essential details which may have been extremely pertinent to their judgment of the voice and the information he presented.
"Credibility is at the core of the connection between a television network and its viewers, particularly for a public service broadcaster such as the British Broadcasting Corporation.
"This error had the possibility to erode the very considerable amounts of confidence that audiences would have put in a factual film from the broadcaster about the Israel-Gaza war."
The programme was pulled from the BBC's streaming service in February after the boy's family links came to light, and in the month of July an broadcaster's internal assessment found it breached the organization's editorial guidelines on truthfulness.
A corporation official said: "The authority's determination is in line with the findings of Peter Johnston's review, that there was a significant failing in the documentary in relation to the corporation's content standards on accuracy, which corresponds to clause 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we agree with the regulator's ruling in complete. We will adhere to the sanction as soon as the timing and wording are determined."