The public service broadcaster engaged in a "serious breach" of industry standards by failing to disclose that the narrator of a film about the Gaza conflict was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the programme was "substantially inaccurate".
The BBC's director general had previously apologised, saying there had been "a significant failing in relation to accuracy".
The authority has ordered the corporation to transmit a prime-time declaration about its conclusions.
"Since this amounts to a serious breach of our rules, we are instructing the BBC to air a message of our findings against it on BBC Two at 9pm, with a schedule to be confirmed," the regulator stated.
'Potential to Damage Credibility'
The watchdog's report stated: "The inquiry we conducted concluded that the documentary's omission to reveal that the presenter's father occupied a position in the Hamas-administered administration was materially misleading.
"This implied that the viewers did not have vital facts which may have been extremely pertinent to their evaluation of the voice and the details he provided.
"Credibility is at the heart of the relationship between a broadcaster and its public, notably for a public service broadcaster such as the BBC.
"This failing had the risk to erode the significantly high amounts of trust that the public would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The documentary was removed from the online platform in the month of February after the boy's personal associations were revealed, and in the month of July an corporation's own inquiry found it breached the broadcaster's journalistic standards on factual correctness.
A corporation official said: "The regulator's decision is in accordance with the findings of the corporation's inquiry, that there was a serious error in the film in relation to the broadcaster's journalistic policies on accuracy, which reflects Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with the regulator's ruling in complete. We will comply with the penalty as soon as the schedule and language are confirmed."