The public service broadcaster was found to have committed a "serious breach" of industry standards by omitting to mention that the narrator of a programme about Gaza was the offspring of a Hamas official, as determined by British broadcasting authority Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The head of the BBC had earlier expressed regret, 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 findings.
"Since this amounts to a major infringement of our rules, we are directing the broadcaster to air a message of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a date to be determined," the regulator stated.
'Potential to Damage Confidence'
The regulator's announcement stated: "Our probe determined that the film's lack of disclosure that the voice's male guardian served in a role in the Hamas-run authority was substantially inaccurate.
"This implied that the audience did not have essential details which may have been highly relevant to their evaluation of the presenter and the information he shared.
"Credibility is at the center of the bond between a television network and its public, notably for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the risk to erode the exceptionally strong degrees of trust that audiences would have put in a BBC factual programme about the conflict in Gaza."
The documentary was withdrawn from the BBC's streaming service in the month of February after the boy's family links were revealed, and in the month of July an corporation's own inquiry concluded it infringed the organization's content policies on accuracy.
A corporation official commented: "The authority's determination is in line with the results of Peter Johnston's review, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on truthfulness, which aligns with regulation 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with the regulator's ruling in its entirety. We will follow the penalty as soon as the schedule and wording are finalised."
