The public service broadcaster was found to have committed a "serious breach" of industry standards by omitting to mention that the presenter of a film about the Gaza conflict was the son of a Hamas administrator, as ruled by British broadcasting authority Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
The BBC's director general had previously apologised, saying there had been "a major oversight in relation to truthfulness".
Ofcom has ordered the corporation to transmit a peak-time announcement about its conclusions.
"Given this constitutes a serious breach of our regulations, we are instructing the broadcaster to air a message of our findings against it on BBC2 at nine o'clock in the evening, with a timing to be determined," the statement read.
'Risk to Damage Confidence'
The regulator's statement stated: "Our investigation found that the film's omission to reveal that the presenter's parent occupied a role in the Hamas-controlled authority was materially misleading.
"Consequently that the viewers did not have critical information which may have been highly relevant to their evaluation of the voice and the information he presented.
"Credibility is at the core of the bond between a television network and its audience, especially for a national broadcasting corporation such as the BBC.
"This oversight had the possibility to undermine the exceptionally strong levels of credibility that audiences would have placed in a documentary produced by the BBC about the Israel-Gaza war."
The film was withdrawn from the BBC's streaming service in the month of February after the boy's familial connections emerged, and in the month of July an corporation's own inquiry found it breached the organization's content policies on factual correctness.
A corporation official said: "The regulator's decision is in line with the conclusions of Peter Johnston's review, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on factual correctness, which reflects Rule 2.2 of the regulator's media standards.
"We have apologised for this and we accept the authority's determination in full. We will adhere to the penalty as soon as the schedule and language are confirmed."
