The BBC engaged in a "significant breach" of media regulations by omitting to mention that the presenter of a documentary about the Gaza situation was the offspring of a Hamas official, as determined by UK media regulator Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The head of the BBC had earlier expressed regret, stating there had been "a significant failing in relation to factual correctness".
The authority has ordered the BBC to broadcast a peak-time announcement about its conclusions.
"Given this constitutes a major infringement of our regulations, we are ordering the corporation to air a statement of our conclusions against it on BBC Two at 9pm, with a timing to be determined," it said.
'Potential to Undermine Confidence'
The regulator's announcement stated: "The inquiry we conducted concluded that the documentary's lack of disclosure that the narrator's father held a position in the Hamas-administered administration was significantly deceptive.
"This implied that the viewers did not have essential details which may have been highly relevant to their assessment of the presenter and the details he provided.
"Confidence is at the center of the bond between a television network and its public, notably for a public service broadcaster such as the public broadcaster.
"This oversight had the potential to erode the exceptionally strong degrees of confidence that viewers would have put in a factual film from the broadcaster about the Israel-Gaza war."
The documentary was pulled from the BBC's streaming service in the month of February after the boy's personal associations were revealed, and in July an internal BBC review determined it breached the organization's journalistic standards on accuracy.
A corporation official stated: "The authority's determination is in line with the results of the internal assessment, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on accuracy, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we comply with the regulator's ruling in full. We will adhere to the directive as soon as the schedule and wording are finalised."