The British broadcaster was found to have committed a "significant breach" of industry standards by not revealing that the voice of a programme about the Gaza situation was the offspring of a Hamas administrator, according to regulatory body Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the documentary was "substantially inaccurate".
The head of the BBC had earlier expressed regret, saying there had been "a major oversight in relation to accuracy".
The regulator has ordered the broadcaster to air a prime-time declaration about its findings.
"Since this amounts to a serious breach of our regulations, we are directing the corporation to air a message of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a schedule to be confirmed," the statement read.
'Risk to Undermine Trust'
The regulator's announcement declared: "The inquiry we conducted concluded that the programme's lack of disclosure that the voice's father held a position in the Hamas-administered authority was significantly deceptive.
"Consequently that the audience did not have critical information which may have been extremely pertinent to their judgment of the voice and the information he presented.
"Trust is at the core of the connection between a television network and its viewers, especially for a state-funded media outlet such as the BBC.
"This error had the risk to damage the significantly high degrees of trust that viewers would have placed in a BBC factual programme about the Israel-Gaza war."
The programme was removed from the BBC's streaming service in February after the boy's personal associations came to light, and in July an broadcaster's internal assessment determined it breached the organization's journalistic standards on factual correctness.
A BBC spokesperson commented: "The authority's determination is in line with the conclusions of Peter Johnston's review, that there was a significant failing in the film in relation to the corporation's content standards on truthfulness, which aligns with clause 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we accept the authority's determination in full. We will adhere to the directive as soon as the date and language are confirmed."