The British broadcaster was found to have committed a "serious breach" of media regulations by failing to disclose that the voice of a film about Gaza was the offspring of a Hamas official, as determined by regulatory body Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The head of the BBC had earlier expressed regret, stating there had been "a serious error in relation to factual correctness".
The regulator has ordered the broadcaster to broadcast a prime-time declaration about its decisions.
"Given this constitutes a major infringement of our rules, we are directing the broadcaster to air a message of our findings against it on BBC2 at nine o'clock in the evening, with a date to be determined," it said.
'Potential to Erode Credibility'
The regulator's statement stated: "The inquiry we conducted found that the documentary's failure to disclose that the voice's parent held a post in the Hamas-controlled authority was materially misleading.
"This implied that the public did not have critical information which may have been very significant to their assessment of the voice and the information he shared.
"Confidence is at the core of the connection between a broadcaster and its audience, particularly for a state-funded media outlet such as the British Broadcasting Corporation.
"This failing had the potential to undermine the significantly high levels of confidence that viewers would have placed in a BBC factual programme about the Gaza conflict."
The documentary was removed from iPlayer in February after the boy's family links were revealed, and in this past July an broadcaster's internal assessment concluded it violated the broadcaster's content policies on truthfulness.
A representative for the broadcaster commented: "The regulator's decision is in accordance with the conclusions of the internal assessment, that there was a major oversight in the programme in relation to the corporation's content standards on truthfulness, which corresponds to clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we accept the authority's determination in its entirety. We will adhere to the penalty as soon as the schedule and wording are determined."
