The British broadcaster was found to have committed a "serious breach" of broadcasting rules by omitting to mention that the narrator of a film about the Gaza conflict was the son of a Hamas administrator, as determined by regulatory body Ofcom.
An probe by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the programme was "significantly deceptive".
The head of the BBC had previously apologised, stating there had been "a major oversight in relation to truthfulness".
Ofcom has instructed the broadcaster to broadcast a prime-time declaration about its conclusions.
"Given this constitutes a serious breach of our regulations, we are ordering the BBC to air a statement of our conclusions against it on BBC2 at 21:00, with a date to be confirmed," the statement read.
'Potential to Undermine Credibility'
The authority's announcement stated: "Our investigation concluded that the programme's lack of disclosure that the voice's male guardian held a position in the Hamas-controlled government was substantially inaccurate.
"This implied that the audience did not have essential details which may have been extremely pertinent to their assessment of the presenter and the details he provided.
"Trust is at the core of the relationship between a broadcaster and its audience, notably for a public service broadcaster such as the public broadcaster.
"This failing had the potential to damage the very considerable amounts of trust that the public would have put in a BBC factual programme about the Israel-Gaza war."
The programme was pulled from the online platform in February after the boy's familial connections came to light, and in the month of July an corporation's own inquiry found it breached the organization's content policies on accuracy.
A representative for the broadcaster commented: "The regulator's decision is in line with the results of the internal assessment, that there was a serious error in the documentary in relation to the corporation's content standards on factual correctness, which reflects regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we agree with the authority's determination in full. We will adhere to the penalty as soon as the schedule and wording are confirmed."