The public service broadcaster committed a "serious breach" of industry standards by failing to disclose that the presenter of a programme about the Gaza situation was the offspring of a Hamas official, as determined by British broadcasting authority Ofcom.
An investigation by the media regulator into the programme Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
The head of the BBC had already issued an apology, saying there had been "a serious error in relation to truthfulness".
The authority has ordered the broadcaster to air a evening declaration about its conclusions.
"Since this amounts to a major infringement of our regulations, we are instructing the corporation to broadcast a statement of our conclusions against it on BBC2 at 9pm, with a schedule to be determined," it said.
'Risk to Erode Credibility'
The regulator's report declared: "The inquiry we conducted determined that the documentary's lack of disclosure that the presenter's parent held a post in the Hamas-controlled administration was significantly deceptive.
"Consequently that the viewers did not have critical information which may have been highly relevant to their assessment of the voice and the content he presented.
"Trust is at the center of the bond between a broadcaster and its audience, particularly for a state-funded media outlet such as the public broadcaster.
"This error had the risk to undermine the very considerable degrees of trust that viewers would have put in a factual film from the broadcaster about the conflict in Gaza."
The documentary was removed from the BBC's streaming service in the month of February after the boy's family links emerged, and in this past July an internal BBC review determined it infringed the organization's content policies on truthfulness.
A corporation official stated: "The Ofcom ruling is in accordance with the conclusions of the corporation's inquiry, that there was a serious error in the programme in relation to the corporation's content standards on accuracy, which reflects regulation 2.2 of the regulator's media standards.
"We have apologised for this and we accept Ofcom's decision in full. We will follow the directive as soon as the timing and wording are determined."