The public service broadcaster was found to have committed a "major breach" of media regulations by failing to disclose that the voice of a programme about Gaza was the child of a Hamas representative, as determined by British broadcasting authority Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has found that the programme was "substantially inaccurate".
The head of the BBC had previously apologised, stating there had been "a major oversight in relation to truthfulness".
Ofcom has ordered the BBC to air a peak-time declaration about its decisions.
"Since this amounts to a serious breach of our regulations, we are ordering the BBC to air a announcement of our determinations against it on BBC Two at nine o'clock in the evening, with a date to be finalised," the statement read.
'Risk to Damage Trust'
The regulator's announcement said: "Our investigation determined that the film's failure to disclose that the narrator's male guardian served in a position in the Hamas-administered government was significantly deceptive.
"This implied that the public did not have vital facts which may have been highly relevant to their assessment of the presenter and the content he presented.
"Trust 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 error had the possibility to undermine the exceptionally strong amounts of credibility that audiences would have invested in a factual film from the broadcaster about the Gaza conflict."
The programme was pulled from the online platform in last February after the boy's family links came to light, and in the month of July an internal BBC review determined it violated the broadcaster's editorial guidelines on truthfulness.
A corporation official stated: "The Ofcom ruling is in accordance with the findings of the corporation's inquiry, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on truthfulness, which reflects regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we accept the authority's determination in full. We will comply with the directive as soon as the date and wording are determined."
