The public service broadcaster was found to have committed a "serious breach" of industry standards by failing to disclose that the voice of a film about the Gaza conflict was the offspring of a Hamas administrator, as ruled by regulatory body Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The BBC's director general had already issued an apology, saying there had been "a major oversight in relation to factual correctness".
The authority has ordered the broadcaster to broadcast a prime-time statement about its decisions.
"As this represents a major infringement of our regulations, we are ordering the BBC to transmit a message of our findings against it on BBC Two at 9pm, with a schedule to be confirmed," it said.
'Risk to Undermine Trust'
The authority's announcement said: "Our probe concluded that the film's lack of disclosure that the narrator's father served in a post in the Hamas-controlled government was substantially inaccurate.
"This implied that the viewers did not have vital facts which may have been extremely pertinent to their evaluation of the voice and the information he provided.
"Trust is at the heart of the connection between a media organization and its public, notably for a state-funded media outlet such as the public broadcaster.
"This failing had the possibility to damage the significantly high amounts of credibility that audiences would have placed in a documentary produced by the BBC about the conflict in Gaza."
The programme was removed from iPlayer in last February after the boy's familial connections came to light, and in the month of July an broadcaster's internal assessment found it violated the corporation's journalistic standards on accuracy.
A corporation official stated: "The regulator's decision is in agreement with the conclusions of Peter Johnston's review, that there was a major oversight in the programme in relation to the corporation's content standards on factual correctness, which reflects clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we comply with Ofcom's decision in full. We will adhere to the directive as soon as the date and language are determined."
