The public service broadcaster committed a "major breach" of industry standards by failing to disclose that the presenter of a film about the Gaza situation was the offspring of a Hamas official, according to regulatory body Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has found that the programme was "substantially inaccurate".
The BBC's director general had already issued an apology, stating there had been "a significant failing in relation to factual correctness".
The regulator has ordered the broadcaster to broadcast a peak-time statement about its findings.
"As this represents a major infringement of our code, we are directing the broadcaster to broadcast a announcement of our findings against it on BBC2 at 21:00, with a schedule to be determined," the statement read.
'Potential to Undermine Confidence'
The regulator's report said: "The inquiry we conducted concluded that the film's lack of disclosure that the voice's father served in a role in the Hamas-run administration was significantly deceptive.
"It meant that the public did not have vital facts which may have been highly relevant to their assessment of the presenter and the details he shared.
"Credibility is at the core of the bond between a television network and its viewers, especially for a public service broadcaster such as the British Broadcasting Corporation.
"This error had the possibility to undermine the exceptionally strong levels of trust that viewers would have put in a documentary produced by the BBC about the Gaza conflict."
The film was withdrawn from the BBC's streaming service in the month of February after the boy's familial connections were revealed, and in the month of July an internal BBC review concluded it infringed the broadcaster's journalistic standards on truthfulness.
A representative for the broadcaster stated: "The authority's determination is in line with the findings of Peter Johnston's review, that there was a significant failing in the film in relation to the BBC's Editorial Guidelines on truthfulness, which corresponds to clause 2.2 of the regulator's media standards.
"We have apologised for this and we agree with the authority's determination in full. We will follow the penalty as soon as the date and wording are finalised."
