The British broadcaster engaged in a "serious breach" of industry standards by not revealing that the narrator of a film about the Gaza situation was the offspring of a Hamas official, as ruled by regulatory body Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The head of the BBC had earlier expressed regret, stating there had been "a major oversight in relation to factual correctness".
The regulator has directed the corporation to transmit a prime-time declaration about its findings.
"Given this constitutes a significant violation of our regulations, we are directing the BBC to broadcast a announcement of our conclusions against it on the BBC's second channel at 21:00, with a timing to be determined," it said.
'Possibility to Undermine Trust'
The regulator's statement stated: "Our investigation determined that the documentary's failure to disclose that the presenter's father held a position in the Hamas-run government was significantly deceptive.
"It meant that the audience did not have vital facts which may have been extremely pertinent to their assessment of the narrator and the information he provided.
"Credibility is at the core of the bond between a television network and its audience, particularly for a public service broadcaster such as the public broadcaster.
"This oversight had the possibility to undermine the exceptionally strong amounts of credibility that the public would have invested in a factual film from the broadcaster about the conflict in Gaza."
The programme was pulled from the online platform in February after the boy's personal associations emerged, and in the month of July an internal BBC review determined it breached the broadcaster's content policies on truthfulness.
A BBC spokesperson said: "The Ofcom ruling is in line with the conclusions of the corporation's inquiry, that there was a major oversight in the programme in relation to the corporation's content standards on truthfulness, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we agree with the regulator's ruling in complete. We will adhere to the directive as soon as the date and wording are confirmed."