The public service broadcaster was found to have committed a "serious breach" of broadcasting rules by omitting to mention that the voice of a film about Gaza was the son of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An probe by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the programme was "substantially inaccurate".
The BBC's director general had earlier expressed regret, noting there had been "a serious error in relation to truthfulness".
Ofcom has ordered the broadcaster to air a prime-time declaration about its findings.
"As this represents a major infringement of our regulations, we are instructing the BBC to air a message of our determinations against it on BBC2 at 9pm, with a date to be determined," the regulator stated.
'Potential to Erode Trust'
The regulator's announcement stated: "Our probe concluded that the film's lack of disclosure that the voice's parent served in a position in the Hamas-administered government was significantly deceptive.
"It meant that the public did not have critical information which may have been extremely pertinent to their evaluation of the voice and the information he provided.
"Trust is at the heart of the connection between a broadcaster and its public, particularly for a state-funded media outlet such as the public broadcaster.
"This failing had the possibility to damage the very considerable degrees of confidence that viewers would have put in a documentary produced by the BBC about the conflict in Gaza."
The film was removed from the BBC's streaming service in February after the boy's personal associations were revealed, and in the month of July an internal BBC review determined it infringed the corporation's journalistic standards on truthfulness.
A corporation official commented: "The regulator's decision is in accordance with the results of the internal assessment, that there was a serious error in the programme in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we comply with the authority's determination in its entirety. We will comply with the sanction as soon as the schedule and wording are finalised."
