The British broadcaster was found to have committed a "significant breach" of industry standards by omitting to mention that the voice of a programme about the Gaza situation was the son of a Hamas administrator, according to regulatory body Ofcom.
An investigation by the media regulator into the programme Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The chief executive of the broadcaster had previously apologised, saying there had been "a significant failing in relation to accuracy".
The regulator has ordered the corporation to air a prime-time statement about its conclusions.
"Given this constitutes a major infringement of our regulations, we are directing the corporation to air a message of our conclusions against it on the BBC's second channel at 9pm, with a timing to be determined," the statement read.
'Risk to Erode Trust'
The authority's announcement declared: "The inquiry we conducted found that the programme's lack of disclosure that the voice's parent held a position in the Hamas-controlled administration was materially misleading.
"Consequently that the viewers did not have critical information which may have been extremely pertinent to their evaluation of the presenter and the details he presented.
"Credibility is at the heart of the bond between a television network and its public, especially for a national broadcasting corporation such as the public broadcaster.
"This error had the possibility to damage the exceptionally strong amounts of confidence that the public would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The programme was withdrawn from the BBC's streaming service in last February after the boy's family links emerged, and in July an broadcaster's internal assessment concluded it violated the broadcaster's journalistic standards on truthfulness.
A BBC spokesperson stated: "The Ofcom ruling is in accordance with the findings of the corporation's inquiry, that there was a significant failing in the programme in relation to the BBC's Editorial Guidelines on truthfulness, which reflects regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we accept the authority's determination in full. We will follow the penalty as soon as the timing and language are finalised."
