The British broadcaster engaged in a "major breach" of broadcasting rules by omitting to mention that the narrator of a documentary about the Gaza situation was the offspring of a Hamas official, as determined by UK media regulator Ofcom.
An probe by Ofcom into Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The chief executive of the broadcaster had already issued an apology, saying there had been "a major oversight in relation to truthfulness".
Ofcom has ordered the broadcaster to transmit a evening statement about its conclusions.
"Since this amounts to a significant violation of our code, we are directing the corporation to transmit a statement of our determinations against it on BBC2 at 9pm, with a date to be finalised," the statement read.
'Possibility to Erode Confidence'
The watchdog's announcement stated: "Our investigation concluded that the film's lack of disclosure that the presenter's male guardian served in a post in the Hamas-run administration was substantially inaccurate.
"It meant that the audience did not have critical information which may have been highly relevant to their judgment of the presenter and the information he shared.
"Trust is at the heart of the bond between a television network and its audience, particularly for a public service broadcaster such as the public broadcaster.
"This failing had the risk to erode the very considerable degrees of credibility that viewers would have put in a factual film from the broadcaster about the Israel-Gaza war."
The programme was pulled from the BBC's streaming service in the month of February after the boy's family links were revealed, and in July an broadcaster's internal assessment determined it infringed the organization's journalistic standards on accuracy.
A BBC spokesperson commented: "The authority's determination is in accordance with the findings of Peter Johnston's review, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to Rule 2.2 of the regulator's media standards.
"We issued an apology for this and we agree with the regulator's ruling in its entirety. We will adhere to the directive as soon as the date and wording are determined."