The public service broadcaster was found to have committed a "major breach" of industry standards by omitting to mention that the narrator of a programme about the Gaza conflict was the son of a Hamas administrator, as determined by regulatory body Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The BBC's director general had previously apologised, stating there had been "a major oversight in relation to truthfulness".
The authority has ordered the BBC to transmit a prime-time announcement about its decisions.
"Since this amounts to a significant violation of our code, we are ordering the broadcaster to air a statement of our determinations against it on BBC Two at 9pm, with a timing to be confirmed," the statement read.
'Potential to Damage Credibility'
The regulator's announcement declared: "Our investigation concluded that the documentary's lack of disclosure that the voice's male guardian occupied a position in the Hamas-run government was substantially inaccurate.
"Consequently that the viewers did not have vital facts which may have been extremely pertinent to their judgment of the voice and the information he shared.
"Confidence is at the heart of the bond between a broadcaster and its audience, especially for a national broadcasting corporation such as the public broadcaster.
"This error had the possibility to erode the very considerable degrees of confidence that audiences would have placed in a factual film from the broadcaster about the conflict in Gaza."
The documentary was withdrawn from the online platform in the month of February after the boy's family links were revealed, and in this past July an internal BBC review determined it violated the organization's journalistic standards on factual correctness.
A BBC spokesperson commented: "The Ofcom ruling is in accordance with the conclusions of the internal assessment, that there was a significant failing in the documentary in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with Ofcom's decision in its entirety. We will comply with the penalty as soon as the timing and wording are determined."