The British broadcaster engaged in a "significant breach" of industry standards by failing to disclose that the presenter of a film about Gaza was the son of a Hamas administrator, as ruled by UK media regulator Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The chief executive of the broadcaster had earlier expressed regret, stating there had been "a major oversight in relation to factual correctness".
Ofcom has directed the corporation to broadcast a prime-time declaration about its decisions.
"Given this constitutes a serious breach of our regulations, we are instructing the BBC to air a message of our determinations against it on BBC2 at nine o'clock in the evening, with a date to be finalised," it said.
'Risk to Undermine Credibility'
The watchdog's statement declared: "Our probe concluded that the programme's lack of disclosure that the narrator's father occupied a role in the Hamas-administered government was substantially inaccurate.
"It meant that the public did not have essential details which may have been highly relevant to their judgment of the narrator and the content he presented.
"Credibility is at the core of the relationship between a broadcaster and its audience, especially for a national broadcasting corporation such as the public broadcaster.
"This failing had the potential to undermine the exceptionally strong amounts of confidence that audiences would have placed in a BBC factual programme about the Gaza conflict."
The film was removed from the BBC's streaming service in last February after the boy's personal associations were revealed, and in the month of July an internal BBC review found it infringed the organization's content policies on accuracy.
A corporation official stated: "The regulator's decision is in line with the findings of Peter Johnston's review, that there was a serious error in the programme in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with Ofcom's decision in full. We will adhere to the penalty as soon as the date and language are determined."