The public service broadcaster was found to have committed a "major breach" of media regulations by not revealing that the voice of a documentary about Gaza was the offspring of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The chief executive of the broadcaster had previously apologised, saying there had been "a significant failing in relation to truthfulness".
The authority has instructed the BBC to air a peak-time announcement about its decisions.
"As this represents a serious breach of our regulations, we are directing the broadcaster to air a message of our conclusions against it on BBC Two at 9pm, with a date to be determined," it said.
'Possibility to Damage Trust'
The watchdog's announcement declared: "Our probe concluded that the film's failure to disclose that the presenter's male guardian served in a post in the Hamas-controlled administration was significantly deceptive.
"It meant that the public did not have vital facts which may have been extremely pertinent to their judgment of the presenter and the content he presented.
"Credibility is at the heart of the bond between a broadcaster and its public, especially for a state-funded media outlet such as the British Broadcasting Corporation.
"This failing had the potential to damage the very considerable amounts of trust that audiences would have placed in a factual film from the broadcaster about the Gaza conflict."
The programme was pulled from the online platform in February after the boy's personal associations emerged, and in July an corporation's own inquiry found it infringed the broadcaster's content policies on factual correctness.
A corporation official commented: "The authority's determination is in accordance with the results of Peter Johnston's review, that there was a major oversight in the film in relation to the corporation's content standards on accuracy, which aligns with Rule 2.2 of the regulator's media standards.
"We issued an apology for this and we accept the regulator's ruling in complete. We will follow the penalty as soon as the schedule and wording are confirmed."