The public service broadcaster was found to have committed a "serious breach" of media regulations by failing to disclose that the presenter of a documentary about Gaza was the child of a Hamas representative, as determined by regulatory body Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has determined that the programme was "materially misleading".
The BBC's director general had previously apologised, saying there had been "a serious error in relation to accuracy".
Ofcom has directed the broadcaster to transmit a prime-time declaration about its conclusions.
"Given this constitutes a major infringement of our rules, we are directing the corporation to air a statement of our determinations against it on BBC Two at nine o'clock in the evening, with a timing to be confirmed," the statement read.
'Potential to Damage Credibility'
The regulator's statement declared: "Our investigation concluded that the documentary's failure to disclose that the narrator's parent occupied a role in the Hamas-administered government was substantially inaccurate.
"Consequently that the public did not have critical information which may have been very significant to their evaluation of the presenter and the details he shared.
"Trust is at the center of the relationship between a television network and its audience, especially for a public service broadcaster such as the public broadcaster.
"This failing had the potential to damage the exceptionally strong amounts of credibility that audiences would have placed in a documentary produced by the BBC about the conflict in Gaza."
The film was pulled from the BBC's streaming service in the month of February after the boy's familial connections came to light, and in July an broadcaster's internal assessment concluded it infringed the corporation's editorial guidelines on truthfulness.
A corporation official said: "The regulator's decision is in agreement with the findings of the corporation's inquiry, that there was a serious error in the programme in relation to the BBC's Editorial Guidelines on accuracy, which corresponds to Rule 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we comply with the regulator's ruling in its entirety. We will adhere to the directive as soon as the date and wording are confirmed."