The BBC was found to have committed a "significant breach" of media regulations by failing to disclose that the voice of a film about Gaza was the child of a Hamas official, as ruled by UK media regulator Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the programme was "substantially inaccurate".
The chief executive of the broadcaster had previously apologised, saying there had been "a major oversight in relation to accuracy".
The authority has ordered the broadcaster to air a evening statement about its findings.
"Since this amounts to a major infringement of our rules, we are instructing the corporation to broadcast a message of our conclusions against it on BBC Two at 9pm, with a timing to be confirmed," it said.
'Potential to Erode Trust'
The authority's statement said: "The inquiry we conducted concluded that the film's omission to reveal that the voice's father held a position in the Hamas-run authority was substantially inaccurate.
"It meant that the viewers did not have critical information which may have been extremely pertinent to their judgment of the presenter and the information he provided.
"Credibility is at the heart of the connection between a television network and its audience, especially for a public service broadcaster such as the public broadcaster.
"This error had the potential to undermine the exceptionally strong degrees of confidence that the public would have placed in a documentary produced by the BBC about the conflict in Gaza."
The documentary was removed from the BBC's streaming service in last February after the boy's family links were revealed, and in July an broadcaster's internal assessment concluded it breached the broadcaster's journalistic standards on factual correctness.
A representative for the broadcaster commented: "The Ofcom ruling is in accordance with the conclusions of the internal assessment, that there was a serious error in the film in relation to the BBC's Editorial Guidelines on accuracy, which reflects clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we accept the authority's determination in complete. We will comply with the penalty as soon as the schedule and wording are determined."
