The public service broadcaster committed a "serious breach" of media regulations by omitting to mention that the presenter of a programme about the Gaza conflict was the offspring of a Hamas official, according to regulatory body Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has determined that the film was "substantially inaccurate".
The chief executive of the broadcaster had already issued an apology, saying there had been "a significant failing in relation to factual correctness".
The regulator has ordered the corporation to air a evening announcement about its conclusions.
"Since this amounts to a significant violation of our regulations, we are instructing the corporation to air a statement of our conclusions against it on BBC2 at nine o'clock in the evening, with a date to be confirmed," the statement read.
'Possibility to Damage Trust'
The regulator's announcement declared: "Our investigation found that the film's failure to disclose that the narrator's male guardian held a role in the Hamas-administered government was significantly deceptive.
"Consequently that the public did not have critical information which may have been highly relevant to their judgment of the narrator and the details he presented.
"Trust is at the center of the relationship between a television network and its public, especially for a state-funded media outlet such as the BBC.
"This oversight had the risk to erode the exceptionally strong degrees of trust that audiences would have placed in a documentary produced by the BBC about the conflict in Gaza."
The documentary was removed from the online platform in last February after the boy's personal associations came to light, and in this past July an broadcaster's internal assessment concluded it breached the corporation's editorial guidelines on accuracy.
A representative for the broadcaster said: "The authority's determination is in accordance with the findings of Peter Johnston's review, that there was a serious error in the film in relation to the corporation's content standards on accuracy, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we accept the authority's determination in full. We will follow the directive as soon as the schedule and language are finalised."
