The British broadcaster was found to have committed a "major breach" of industry standards by omitting to mention that the voice of a documentary about the Gaza situation was the child of a Hamas official, according to regulatory body Ofcom.
An probe by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has determined that the film was "substantially inaccurate".
The chief executive of the broadcaster had already issued an apology, noting there had been "a serious error in relation to accuracy".
The regulator has instructed the broadcaster to air a prime-time announcement about its findings.
"Given this constitutes a major infringement of our code, we are ordering the BBC to transmit a statement of our determinations against it on BBC2 at 21:00, with a schedule to be finalised," the statement read.
'Potential to Damage Confidence'
The regulator's report said: "The inquiry we conducted concluded that the programme's failure to disclose that the presenter's father occupied a position in the Hamas-controlled government was significantly deceptive.
"It meant that the public did not have essential details which may have been extremely pertinent to their judgment of the presenter and the content he presented.
"Trust is at the heart of the connection between a television network and its audience, particularly for a public service broadcaster such as the public broadcaster.
"This error had the potential to damage the significantly high amounts of trust that audiences would have put in a BBC factual programme about the Israel-Gaza war."
The documentary was pulled from iPlayer in February after the narrator's familial connections were revealed, and in July an corporation's own inquiry concluded it violated the broadcaster's journalistic standards on truthfulness.
A corporation official commented: "The Ofcom ruling is in accordance with the results of Peter Johnston's review, that there was a serious error in the documentary in relation to the BBC's Editorial Guidelines on accuracy, which aligns with clause 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with the authority's determination in full. We will comply with the penalty as soon as the schedule and wording are confirmed."