The public service broadcaster was found to have committed a "serious breach" of broadcasting rules by not revealing that the voice of a documentary about the Gaza conflict was the child of a Hamas administrator, as determined by regulatory body Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has concluded that the film was "substantially inaccurate".
The head of the BBC had earlier expressed regret, noting there had been "a significant failing in relation to factual correctness".
The authority has ordered the broadcaster to air a evening declaration about its findings.
"Since this amounts to a major infringement of our code, we are instructing the BBC to transmit a message of our determinations against it on BBC Two at 21:00, with a schedule to be finalised," the statement read.
'Potential to Undermine Trust'
The regulator's report stated: "Our probe determined that the documentary's failure to disclose that the narrator's father held a position in the Hamas-controlled authority was substantially inaccurate.
"Consequently that the audience did not have vital facts which may have been very significant to their evaluation of the presenter and the content he provided.
"Trust is at the core of the relationship between a broadcaster and its audience, notably for a national broadcasting corporation such as the BBC.
"This oversight had the possibility to erode the very considerable levels of credibility that the public would have placed in a BBC factual programme about the Gaza conflict."
The documentary was withdrawn from the online platform in the month of February after the boy's family links came to light, and in July an internal BBC review found it violated the corporation's editorial guidelines on accuracy.
A corporation official said: "The Ofcom ruling is in line with the results of the internal assessment, that there was a significant failing in the programme in relation to the corporation's content standards on truthfulness, which aligns with clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept Ofcom's decision in complete. We will comply with the penalty as soon as the timing and wording are determined."
