The British broadcaster engaged in a "major breach" of media regulations by omitting to mention that the voice of a programme about the Gaza situation was the son of a Hamas representative, as determined by UK media regulator Ofcom.
An probe by Ofcom into Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The chief executive of the broadcaster had previously apologised, saying there had been "a major oversight in relation to factual correctness".
Ofcom has ordered the broadcaster to air a evening announcement about its conclusions.
"Since this amounts to a serious breach of our rules, we are directing the corporation to transmit a announcement of our conclusions against it on the BBC's second channel at 9pm, with a timing to be confirmed," it said.
'Possibility to Damage Trust'
The authority's statement stated: "The inquiry we conducted determined that the programme's omission to reveal that the narrator's parent occupied a position in the Hamas-controlled administration was substantially inaccurate.
"It meant that the audience did not have essential details which may have been very significant to their judgment of the presenter and the information he provided.
"Credibility is at the center of the bond between a television network and its viewers, particularly for a public service broadcaster such as the BBC.
"This oversight had the potential to damage the very considerable degrees of confidence that viewers would have placed in a BBC factual programme about the conflict in Gaza."
The documentary was pulled from the BBC's streaming service in the month of February after the presenter's personal associations were revealed, and in the month of July an internal BBC review determined it breached the organization's journalistic standards on accuracy.
A corporation official said: "The authority's determination is in accordance with the results of the internal assessment, that there was a significant failing in the documentary in relation to the BBC's Editorial Guidelines on accuracy, which reflects clause 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with the regulator's ruling in complete. We will follow the penalty as soon as the timing and language are finalised."
