The British broadcaster committed a "serious breach" of media regulations by not revealing that the voice of a documentary about the Gaza situation was the child of a Hamas representative, as ruled by regulatory body Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has concluded that the film was "substantially inaccurate".
The chief executive of the broadcaster had already issued an apology, stating there had been "a major oversight in relation to truthfulness".
The authority has directed the broadcaster to air a prime-time declaration about its conclusions.
"Given this constitutes a serious breach of our rules, we are ordering the BBC to transmit a announcement of our determinations against it on the BBC's second channel at 21:00, with a timing to be confirmed," the regulator stated.
'Possibility to Damage Trust'
The authority's statement said: "Our probe concluded that the documentary's omission to reveal that the presenter's father served in a position in the Hamas-controlled government was substantially inaccurate.
"It meant that the public did not have essential details which may have been extremely pertinent to their judgment of the presenter and the details he presented.
"Credibility is at the core of the connection between a television network and its public, especially for a state-funded media outlet such as the BBC.
"This error had the potential to erode the significantly high degrees of credibility that the public would have put in a BBC factual programme about the Israel-Gaza war."
The documentary was withdrawn from the online platform in last February after the presenter's family links emerged, and in July an internal BBC review found it violated the corporation's journalistic standards on truthfulness.
A BBC spokesperson stated: "The Ofcom ruling is in accordance with the findings of the internal assessment, that there was a major oversight in the film in relation to the corporation's content standards on accuracy, which aligns with Rule 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with the regulator's ruling in its entirety. We will comply with the penalty as soon as the date and language are finalised."