The public service broadcaster committed a "serious breach" of media regulations by failing to disclose that the voice of a documentary about Gaza was the son of a Hamas official, according to regulatory body Ofcom.
An probe by the broadcasting watchdog into Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The head of the BBC had earlier expressed regret, stating there had been "a serious error in relation to accuracy".
The authority has instructed the broadcaster to broadcast a prime-time statement about its conclusions.
"Since this amounts to a major infringement of our rules, we are directing the broadcaster to transmit a statement of our determinations against it on BBC2 at 21:00, with a date to be determined," it said.
'Possibility to Damage Trust'
The regulator's announcement stated: "The inquiry we conducted concluded that the film's omission to reveal that the presenter's male guardian occupied a position in the Hamas-administered government was significantly deceptive.
"It meant that the public did not have critical information which may have been extremely pertinent to their assessment of the voice and the content he provided.
"Confidence is at the core of the bond between a broadcaster and its viewers, especially for a state-funded media outlet such as the BBC.
"This error had the possibility to undermine the very considerable levels of confidence that audiences would have put in a BBC factual programme about the Israel-Gaza war."
The programme was removed from the online platform in last February after the presenter's personal associations came to light, and in July an corporation's own inquiry concluded it breached the broadcaster's editorial guidelines on truthfulness.
A BBC spokesperson stated: "The Ofcom ruling is in agreement with the findings of the corporation's inquiry, that there was a significant failing in the film in relation to the corporation's content standards on factual correctness, which reflects clause 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we accept the authority's determination in complete. We will follow the penalty as soon as the schedule and language are determined."
