The public service broadcaster was found to have committed a "serious breach" of industry standards by failing to disclose that the presenter of a film about Gaza was the offspring of a Hamas official, according to British broadcasting authority Ofcom.
An probe by Ofcom into Gaza: How to Survive a Warzone has determined that the film was "significantly deceptive".
The BBC's director general had previously apologised, stating there had been "a significant failing in relation to factual correctness".
The regulator has directed the corporation to broadcast a peak-time declaration about its findings.
"Given this constitutes a serious breach of our code, we are directing the BBC to broadcast a statement of our findings against it on BBC Two at 21:00, with a date to be determined," the statement read.
'Possibility to Erode Confidence'
The watchdog's report said: "The inquiry we conducted found that the documentary's omission to reveal that the presenter's male guardian served in a post in the Hamas-administered government was substantially inaccurate.
"This implied that the audience did not have essential details which may have been highly relevant to their evaluation of the voice and the content he shared.
"Confidence is at the core of the connection between a broadcaster and its viewers, especially for a national broadcasting corporation such as the BBC.
"This failing had the potential to erode the very considerable degrees of confidence that audiences would have put in a factual film from the broadcaster about the Israel-Gaza war."
The programme was removed from the online platform in February after the boy's familial connections emerged, and in the month of July an broadcaster's internal assessment determined it violated the broadcaster's editorial guidelines on accuracy.
A corporation official stated: "The authority's determination is in line with the findings of the corporation's inquiry, that there was a significant failing in the documentary in relation to the broadcaster's journalistic policies on factual correctness, which reflects Rule 2.2 of the regulator's media standards.
"We issued an apology for this and we accept the authority's determination in full. We will comply with the penalty as soon as the timing and language are confirmed."