The public service broadcaster was found to have committed a "major breach" of industry standards by omitting to mention that the voice of a programme about the Gaza situation was the child of a Hamas representative, as ruled by British broadcasting authority Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the programme was "substantially inaccurate".
The BBC's director general had earlier expressed regret, stating there had been "a serious error in relation to truthfulness".
The regulator has ordered the corporation to transmit a prime-time declaration about its findings.
"Given this constitutes a significant violation of our code, we are ordering the corporation to transmit a announcement of our findings against it on BBC2 at 9pm, with a date to be confirmed," the statement read.
'Potential to Erode Credibility'
The authority's announcement declared: "Our investigation determined that the documentary's omission to reveal that the presenter's male guardian occupied a role in the Hamas-run authority was materially misleading.
"It meant that the audience did not have vital facts which may have been highly relevant to their assessment of the presenter and the information he provided.
"Credibility is at the center of the bond between a media organization and its public, particularly for a state-funded media outlet such as the BBC.
"This error had the potential to undermine the significantly high levels of credibility that audiences would have placed in a documentary produced by the BBC about the conflict in Gaza."
The documentary was pulled from the online platform in February after the boy's family links came to light, and in the month of July an internal BBC review determined it infringed the corporation's content policies on truthfulness.
A representative for the broadcaster commented: "The Ofcom ruling is in line with the findings of the corporation's inquiry, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to clause 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept the authority's determination in its entirety. We will comply with the penalty as soon as the date and language are determined."
