The British broadcaster was found to have committed a "major breach" of broadcasting rules by omitting to mention that the presenter of a film about Gaza was the child of a Hamas official, as ruled by regulatory body Ofcom.
An probe by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has determined that the programme was "significantly deceptive".
The head of the BBC had earlier expressed regret, stating there had been "a serious error in relation to truthfulness".
Ofcom has ordered the broadcaster to broadcast a prime-time declaration about its conclusions.
"Since this amounts to a serious breach of our regulations, we are directing the BBC to broadcast a announcement 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 Undermine Confidence'
The regulator's announcement said: "Our investigation concluded that the film's lack of disclosure that the narrator's father held a post in the Hamas-controlled administration was substantially inaccurate.
"This implied that the viewers did not have critical information which may have been extremely pertinent to their evaluation of the narrator and the information he presented.
"Trust is at the heart of the relationship between a broadcaster and its public, particularly for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the possibility to erode the exceptionally strong amounts of confidence that audiences would have put in a BBC factual programme about the conflict in Gaza."
The documentary was removed from iPlayer in last February after the boy's family links came to light, and in the month of July an corporation's own inquiry determined it breached the corporation's journalistic standards on accuracy.
A representative for the broadcaster commented: "The regulator's decision is in accordance with the findings of the corporation's inquiry, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on truthfulness, which aligns with regulation 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 wording are determined."