The public service broadcaster engaged in a "significant breach" of broadcasting rules by failing to disclose that the narrator of a film about the Gaza conflict was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has determined that the documentary was "substantially inaccurate".
The BBC's director general had previously apologised, noting there had been "a serious error in relation to factual correctness".
Ofcom has directed the corporation to broadcast a prime-time statement about its conclusions.
"Since this amounts to a serious breach of our rules, we are ordering the corporation to air a statement of our conclusions against it on BBC Two at 9pm, with a date to be confirmed," it said.
'Risk to Damage Trust'
The watchdog's statement declared: "Our investigation concluded that the film's failure to disclose that the presenter's parent served in a role in the Hamas-run administration was significantly deceptive.
"It meant that the audience did not have vital facts which may have been extremely pertinent to their evaluation of the narrator and the details he provided.
"Credibility is at the core of the bond between a broadcaster and its public, especially for a public service broadcaster such as the BBC.
"This oversight had the possibility to damage the exceptionally strong levels of trust that viewers would have placed in a factual film from the broadcaster about the Israel-Gaza war."
The programme was removed from iPlayer in the month of February after the boy's personal associations emerged, and in July an corporation's own inquiry determined it infringed the corporation's editorial guidelines on accuracy.
A corporation official commented: "The regulator's decision is in line with the findings of Peter Johnston's review, 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 authority's broadcasting regulations.
"We expressed regret for this and we agree with Ofcom's decision in complete. We will follow the sanction as soon as the schedule and wording are finalised."