The public service broadcaster engaged in a "serious breach" of broadcasting rules by failing to disclose that the voice of a documentary about Gaza was the son of a Hamas official, according to British broadcasting authority Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The head of the BBC had earlier expressed regret, stating there had been "a serious error in relation to factual correctness".
The regulator has ordered the corporation to broadcast a peak-time announcement about its findings.
"Since this amounts to a significant violation of our rules, we are ordering the corporation to broadcast a announcement of our findings against it on the BBC's second channel at 9pm, with a schedule to be finalised," the regulator stated.
'Potential to Undermine Trust'
The regulator's report said: "Our investigation determined that the film's failure to disclose that the presenter's father held a post in the Hamas-controlled government was substantially inaccurate.
"It meant that the public did not have critical information which may have been extremely pertinent to their judgment of the presenter and the details he presented.
"Credibility is at the heart of the bond between a broadcaster and its viewers, notably for a national broadcasting corporation such as the BBC.
"This error had the risk to erode the exceptionally strong amounts of confidence that the public would have put in a factual film from the broadcaster about the Israel-Gaza war."
The film was withdrawn from the BBC's streaming service in February after the boy's personal associations were revealed, and in the month of July an corporation's own inquiry found it violated the broadcaster's content policies on accuracy.
A representative for the broadcaster stated: "The Ofcom ruling is in agreement with the results of the internal assessment, that there was a major oversight in the programme in relation to the corporation's content standards on truthfulness, which reflects regulation 2.2 of the regulator's media standards.
"We have apologised for this and we agree with the authority's determination in its entirety. We will adhere to the penalty as soon as the date and wording are determined."