The British broadcaster was found to have committed a "major breach" of industry standards by failing to disclose that the voice of a film about the Gaza conflict was the child of a Hamas administrator, as determined by UK media regulator Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The BBC's director general had earlier expressed regret, noting there had been "a serious error in relation to accuracy".
The authority has instructed the corporation to transmit a evening declaration about its decisions.
"Given this constitutes a serious breach of our rules, we are directing the BBC to air a statement of our conclusions against it on BBC2 at 21:00, with a schedule to be determined," the regulator stated.
'Potential to Undermine Credibility'
The authority's report stated: "Our probe determined that the programme's omission to reveal that the voice's parent held a role in the Hamas-administered administration was significantly deceptive.
"This implied that the viewers did not have critical information which may have been extremely pertinent to their evaluation of the presenter and the information he shared.
"Confidence is at the center of the relationship between a media organization and its viewers, particularly for a state-funded media outlet such as the British Broadcasting Corporation.
"This failing had the potential to damage the significantly high amounts of credibility that viewers would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The programme was pulled from iPlayer in February after the boy's familial connections came to light, and in July an internal BBC review determined it breached the organization's editorial guidelines on truthfulness.
A BBC spokesperson said: "The Ofcom ruling is in line with the findings of Peter Johnston's review, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on accuracy, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we accept the authority's determination in complete. We will follow the sanction as soon as the schedule and language are determined."