The public service broadcaster engaged in a "significant breach" of industry standards by failing to disclose that the voice of a film about Gaza was the offspring of a Hamas administrator, as determined by UK media regulator Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
The BBC's director general had earlier expressed regret, stating there had been "a serious error in relation to truthfulness".
The authority has directed the BBC to transmit a evening declaration about its conclusions.
"Since this amounts to a serious breach of our regulations, we are directing the broadcaster to broadcast a announcement of our conclusions against it on BBC Two at 21:00, with a date to be determined," the statement read.
'Risk to Damage Credibility'
The regulator's statement declared: "Our probe concluded that the documentary's failure to disclose that the narrator's parent occupied a role in the Hamas-run government was substantially inaccurate.
"Consequently that the viewers did not have critical information which may have been highly relevant to their assessment of the voice and the information he provided.
"Confidence is at the heart of the bond between a broadcaster and its viewers, notably for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the potential to erode the significantly high levels of trust that viewers would have placed in a factual film from the broadcaster about the Gaza conflict."
The documentary was removed from the online platform in the month of February after the boy's family links came to light, and in July an broadcaster's internal assessment concluded it infringed the corporation's content policies on accuracy.
A corporation official said: "The authority's determination is in agreement with the findings of the internal assessment, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on truthfulness, which aligns with regulation 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we comply with the regulator's ruling in full. We will follow the penalty as soon as the schedule and language are confirmed."
