The public service broadcaster engaged in a "significant breach" of media regulations by failing to disclose that the voice of a film about the Gaza situation was the child of a Hamas official, as ruled by regulatory body Ofcom.
An inquiry by Ofcom into the documentary titled Gaza: How to Survive a Warzone has found that the programme was "substantially inaccurate".
The BBC's director general had already issued an apology, saying there had been "a serious error in relation to accuracy".
Ofcom has ordered the BBC to broadcast a evening announcement about its conclusions.
"As this represents a significant violation of our code, we are instructing the broadcaster to air a announcement of our determinations against it on BBC2 at 9pm, with a schedule to be determined," the statement read.
'Risk to Undermine Confidence'
The regulator's statement said: "Our probe determined that the programme's failure to disclose that the voice's father occupied a role in the Hamas-run government was significantly deceptive.
"Consequently that the public did not have vital facts which may have been highly relevant to their judgment of the presenter and the content he presented.
"Trust is at the heart of the relationship between a broadcaster and its audience, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This error had the potential to erode the exceptionally strong levels of credibility that viewers would have invested in a BBC factual programme about the conflict in Gaza."
The film was withdrawn from the online platform in last February after the boy's family links came to light, and in the month of July an internal BBC review found it breached the organization's journalistic standards on truthfulness.
A corporation official commented: "The regulator's decision is in accordance with the results of the corporation's inquiry, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on accuracy, which aligns with regulation 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we agree with the authority's determination in full. We will follow the penalty as soon as the schedule and language are confirmed."
