The public service broadcaster committed a "significant breach" of broadcasting rules by not revealing that the presenter of a programme about Gaza was the offspring of a Hamas official, as ruled by UK media regulator Ofcom.
An inquiry by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The chief executive of the broadcaster had previously apologised, saying there had been "a significant failing in relation to accuracy".
The authority has ordered the broadcaster to air a evening declaration about its findings.
"Given this constitutes a serious breach of our rules, we are ordering the BBC to air a announcement of our findings against it on BBC2 at 21:00, with a timing to be finalised," it said.
'Potential to Undermine Confidence'
The regulator's announcement stated: "Our probe concluded that the programme's lack of disclosure that the presenter's male guardian served in a role in the Hamas-controlled authority was substantially inaccurate.
"It meant that the audience did not have critical information which may have been extremely pertinent to their judgment of the voice and the details he presented.
"Trust is at the center of the connection between a television network and its public, especially for a state-funded media outlet such as the public broadcaster.
"This error had the potential to erode the significantly high degrees of trust that viewers would have put in a factual film from the broadcaster about the Israel-Gaza war."
The documentary was withdrawn from the BBC's streaming service in the month of February after the boy's personal associations came to light, and in July an corporation's own inquiry determined it infringed the corporation's content policies on accuracy.
A BBC spokesperson commented: "The regulator's decision is in line 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 truthfulness, which aligns with clause 2.2 of Ofcom's Broadcasting Code.
"We have apologised 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."