The BBC was found to have committed a "significant breach" of industry standards by not revealing that the voice of a film about the Gaza situation was the offspring of a Hamas representative, as determined by British broadcasting authority Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has concluded that the film was "significantly deceptive".
The BBC's director general had already issued an apology, saying there had been "a major oversight in relation to factual correctness".
The authority has directed the broadcaster to air a peak-time announcement about its findings.
"As this represents a serious breach of our code, we are ordering the broadcaster to broadcast a message of our conclusions against it on the BBC's second channel at 21:00, with a timing to be confirmed," the statement read.
'Risk to Undermine Confidence'
The watchdog's report stated: "Our probe determined that the documentary's failure to disclose that the voice's male guardian held a position in the Hamas-run administration was materially misleading.
"This implied that the audience did not have critical information which may have been highly relevant to their assessment of the voice and the content he shared.
"Confidence is at the center of the bond between a television network and its viewers, especially for a state-funded media outlet such as the BBC.
"This error had the potential to damage the significantly high levels of confidence that audiences would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The programme was withdrawn from the BBC's streaming service in last February after the boy's family links emerged, and in July an corporation's own inquiry determined it breached the corporation's content policies on factual correctness.
A BBC spokesperson stated: "The authority's determination is in accordance with the findings of the corporation's inquiry, that there was a significant failing in the programme in relation to the BBC's Editorial Guidelines on factual correctness, which corresponds to regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept the regulator's ruling in its entirety. We will adhere to the directive as soon as the timing and wording are finalised."