The British broadcaster was found to have committed a "serious breach" of broadcasting rules by not revealing that the voice of a film about the Gaza conflict was the child of a Hamas official, according to regulatory body Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The head of the BBC had previously apologised, saying there had been "a serious error in relation to factual correctness".
The authority has directed the broadcaster to transmit a peak-time statement about its decisions.
"Since this amounts to a serious breach of our regulations, we are instructing the corporation to broadcast a announcement of our conclusions against it on BBC2 at 21:00, with a schedule to be finalised," the statement read.
'Risk to Undermine Confidence'
The authority's report said: "The inquiry we conducted determined that the documentary's omission to reveal that the voice's parent served in a position in the Hamas-run administration was substantially inaccurate.
"This implied that the public did not have essential details which may have been extremely pertinent to their evaluation of the narrator and the details he provided.
"Trust is at the center of the connection between a media organization and its viewers, especially for a state-funded media outlet such as the British Broadcasting Corporation.
"This failing had the possibility to damage the exceptionally strong levels of trust that viewers would have put in a factual film from the broadcaster about the Israel-Gaza war."
The documentary was pulled from the online platform in the month of February after the boy's family links came to light, and in July an internal BBC review found it breached the organization's journalistic standards on factual correctness.
A corporation official commented: "The regulator's decision is in line with the conclusions of the internal assessment, that there was a significant failing in the documentary in relation to the corporation's content standards on factual correctness, which aligns with clause 2.2 of the regulator's media standards.
"We expressed regret for this and we comply with the regulator's ruling in complete. We will adhere to the directive as soon as the schedule and language are finalised."