The public service broadcaster engaged in a "serious breach" of industry standards by omitting to mention that the presenter of a film about Gaza was the son of a Hamas representative, as determined by British broadcasting authority Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The head of the BBC had already issued an apology, saying there had been "a significant failing in relation to truthfulness".
The regulator has ordered the corporation to air a evening announcement about its findings.
"Given this constitutes a serious breach of our rules, we are ordering the corporation 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.
'Potential to Damage Credibility'
The regulator's statement stated: "Our investigation found that the documentary's lack of disclosure that the voice's male guardian occupied a post in the Hamas-administered government was materially misleading.
"Consequently that the public did not have critical information which may have been highly relevant to their judgment of the presenter and the details he shared.
"Confidence is at the heart of the connection between a television network and its viewers, particularly for a public service broadcaster such as the BBC.
"This failing had the risk to erode the significantly high amounts of credibility that audiences would have invested in a documentary produced by the BBC about the Gaza conflict."
The film was pulled from the BBC's streaming service in the month of February after the boy's personal associations were revealed, and in July an broadcaster's internal assessment concluded it violated the organization's editorial guidelines on truthfulness.
A corporation official said: "The Ofcom ruling is in line with the conclusions of the corporation's inquiry, that there was a major oversight in the film in relation to the BBC's Editorial Guidelines on factual correctness, which reflects regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we comply with the regulator's ruling in complete. We will comply with the directive as soon as the schedule and language are finalised."