The public service broadcaster was found to have committed a "major breach" of broadcasting rules by not revealing that the voice of a programme about the Gaza situation was the child of a Hamas representative, as ruled by regulatory body Ofcom.
An probe by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the film was "significantly deceptive".
The BBC's director general had already issued an apology, noting there had been "a serious error in relation to factual correctness".
The authority has instructed the corporation to transmit a prime-time statement about its decisions.
"Since this amounts to a serious breach of our rules, we are instructing the broadcaster to transmit a statement of our determinations against it on the BBC's second channel at 21:00, with a date to be confirmed," the statement read.
'Risk to Damage Credibility'
The watchdog's announcement declared: "Our probe determined that the documentary's omission to reveal that the narrator's father occupied a position in the Hamas-administered authority was significantly deceptive.
"Consequently that the audience did not have critical information which may have been extremely pertinent to their judgment of the narrator and the information he shared.
"Credibility is at the center of the bond between a media organization and its public, particularly for a national broadcasting corporation such as the public broadcaster.
"This failing had the risk to undermine the very considerable amounts of trust that the public would have placed in a documentary produced by the BBC about the Gaza conflict."
The programme was withdrawn from the BBC's streaming service in last February after the narrator's family links were revealed, and in this past July an corporation's own inquiry concluded it violated the organization's content policies on factual correctness.
A corporation official commented: "The authority's determination is in line with the findings of Peter Johnston's review, that there was a serious error in the programme in relation to the corporation's content standards on factual correctness, which corresponds to regulation 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we agree with Ofcom's decision in full. We will follow the penalty as soon as the schedule and language are finalised."
