The public service broadcaster was found to have committed a "significant breach" of industry standards by not revealing that the voice of a documentary about Gaza was the offspring of a Hamas official, as ruled by regulatory body Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The chief executive of the broadcaster had already issued an apology, noting there had been "a major oversight in relation to truthfulness".
The regulator has instructed the corporation to air a prime-time statement about its conclusions.
"Given this constitutes a significant violation of our regulations, we are ordering the corporation to air a announcement of our determinations against it on BBC2 at 9pm, with a date to be determined," the statement read.
'Possibility to Erode Confidence'
The watchdog's statement stated: "The inquiry we conducted found that the film's failure to disclose that the voice's father occupied a post in the Hamas-administered authority was substantially inaccurate.
"It meant that the viewers did not have critical information which may have been highly relevant to their evaluation of the narrator and the information he shared.
"Credibility is at the center of the connection between a media organization and its viewers, notably for a state-funded media outlet such as the BBC.
"This error had the possibility to damage the very considerable degrees of confidence that audiences would have invested in a BBC factual programme about the conflict in Gaza."
The programme was removed from the BBC's streaming service in last February after the boy's personal associations came to light, and in this past July an corporation's own inquiry concluded it infringed the organization's journalistic standards on accuracy.
A corporation official stated: "The Ofcom ruling is in accordance with the conclusions of the corporation's inquiry, that there was a serious error in the film in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to Rule 2.2 of the regulator's media standards.
"We have apologised for this and we agree with the regulator's ruling in complete. We will follow the penalty as soon as the schedule and wording are finalised."
