The BBC committed a "major breach" of media regulations by failing to disclose that the voice of a film about the Gaza conflict was the child of a Hamas representative, as determined by British broadcasting authority Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has concluded that the documentary was "materially misleading".
The chief executive of the broadcaster had previously apologised, noting there had been "a major oversight in relation to factual correctness".
Ofcom has instructed the broadcaster to transmit a evening declaration about its findings.
"As this represents a significant violation of our regulations, we are ordering the corporation to air a statement of our conclusions against it on the BBC's second channel at nine o'clock in the evening, with a timing to be determined," the statement read.
'Potential to Damage Trust'
The watchdog's announcement said: "Our investigation concluded that the documentary's lack of disclosure that the presenter's father served in a role in the Hamas-run government was materially misleading.
"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 provided.
"Credibility is at the heart of the bond between a media organization and its public, particularly for a state-funded media outlet such as the public broadcaster.
"This failing had the risk to damage the significantly high amounts of confidence that audiences would have put in a factual film from the broadcaster about the conflict in Gaza."
The programme was withdrawn from the BBC's streaming service in the month of February after the boy's familial connections were revealed, and in the month of July an internal BBC review determined it violated the corporation's editorial guidelines on accuracy.
A BBC spokesperson stated: "The authority's determination is in line with the conclusions of Peter Johnston's review, that there was a serious error in the film in relation to the BBC's Editorial Guidelines on truthfulness, which corresponds to regulation 2.2 of the regulator's media standards.
"We issued an apology for this and we comply with the authority's determination in full. We will follow the penalty as soon as the timing and language are confirmed."