The British broadcaster was found to have committed a "major breach" of media regulations by failing to disclose that the voice of a film about the Gaza situation was the offspring of a Hamas official, according to regulatory body Ofcom.
An inquiry by Ofcom into Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The head of the BBC had previously apologised, noting there had been "a serious error in relation to accuracy".
The regulator has ordered the corporation to transmit a peak-time statement about its conclusions.
"As this represents a serious breach of our code, we are directing the broadcaster to broadcast a message of our findings against it on BBC2 at nine o'clock in the evening, with a timing to be determined," the regulator stated.
'Possibility to Damage Credibility'
The watchdog's announcement stated: "Our investigation determined that the programme's lack of disclosure that the voice's father held a role in the Hamas-run authority was substantially inaccurate.
"This implied that the public did not have critical information which may have been extremely pertinent to their evaluation of the presenter and the content he provided.
"Confidence is at the center of the relationship between a broadcaster and its viewers, particularly for a state-funded media outlet such as the BBC.
"This failing had the risk to damage the very considerable amounts of trust that audiences would have placed in a factual film from the broadcaster about the conflict in Gaza."
The programme was removed from the online platform in February after the narrator's family links were revealed, and in this past July an broadcaster's internal assessment concluded it violated the corporation's content policies on factual correctness.
A BBC spokesperson commented: "The authority's determination is in agreement with the findings of the corporation's inquiry, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on factual correctness, which aligns with regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we agree with Ofcom's decision in full. We will adhere to the penalty as soon as the schedule and wording are determined."