The British broadcaster was found to have committed a "serious breach" of broadcasting rules by not revealing that the voice of a programme about the Gaza conflict was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An investigation 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 already issued an apology, stating there had been "a major oversight in relation to accuracy".
The authority has directed the broadcaster to broadcast a prime-time declaration about its decisions.
"Since this amounts to a serious breach of our rules, we are ordering the BBC to broadcast a statement of our determinations against it on the BBC's second channel at 21:00, with a timing to be confirmed," it said.
'Potential to Damage Trust'
The authority's statement declared: "Our probe determined that the documentary's lack of disclosure that the presenter's parent served in a role in the Hamas-administered government was substantially inaccurate.
"This implied that the public did not have vital facts which may have been very significant to their evaluation of the voice and the content he shared.
"Trust is at the heart of the connection between a media organization and its audience, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This oversight had the potential to undermine the very considerable levels of trust that the public would have placed in a factual film from the broadcaster about the conflict in Gaza."
The film was pulled from the BBC's streaming service in last February after the narrator's familial connections were revealed, and in this past July an internal BBC review determined it breached the organization's content policies on accuracy.
A corporation official commented: "The regulator's decision is in agreement with the results of the internal assessment, that there was a significant failing in the programme in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept the regulator's ruling in full. We will comply with the penalty as soon as the date and wording are determined."
