The public service broadcaster was found to have committed a "serious breach" of broadcasting rules by omitting to mention that the voice of a film about the Gaza conflict was the offspring of a Hamas administrator, according to UK media regulator Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The head of the BBC had already issued an apology, stating there had been "a significant failing in relation to factual correctness".
The authority has ordered the corporation to transmit a evening statement about its conclusions.
"Given this constitutes a major infringement of our code, we are instructing the BBC to transmit a statement of our determinations against it on BBC2 at 21:00, with a timing to be confirmed," the statement read.
'Possibility to Undermine Confidence'
The watchdog's report said: "The inquiry we conducted found that the film's failure to disclose that the presenter's father held a position in the Hamas-controlled authority was materially misleading.
"It meant that the public did not have critical information which may have been extremely pertinent to their evaluation of the presenter and the content he presented.
"Confidence is at the center of the relationship between a television network and its audience, notably for a national broadcasting corporation such as the public broadcaster.
"This oversight had the potential to damage the significantly high degrees of confidence that viewers would have invested in a documentary produced by the BBC about the conflict in Gaza."
The programme was removed from the online platform in February after the boy's family links were revealed, and in the month of July an internal BBC review found it infringed the broadcaster's content policies on factual correctness.
A representative for the broadcaster stated: "The Ofcom ruling is in accordance with the results of the internal assessment, that there was a major oversight in the film in relation to the corporation's content standards on accuracy, which reflects clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we accept the regulator's ruling in full. We will adhere to the directive as soon as the date and language are finalised."