The public service broadcaster committed a "major breach" of media regulations by not revealing that the voice of a documentary about the Gaza situation was the offspring of a Hamas administrator, as ruled by UK media regulator Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has concluded that the film was "substantially inaccurate".
The BBC's director general had already issued an apology, stating there had been "a significant failing in relation to truthfulness".
Ofcom has instructed the BBC to transmit a prime-time statement about its conclusions.
"As this represents a significant violation of our regulations, we are ordering the broadcaster to air a message of our determinations against it on BBC Two at 21:00, with a date to be confirmed," the statement read.
'Potential to Erode Confidence'
The authority's report stated: "Our investigation found that the programme's omission to reveal that the voice's parent served in a post in the Hamas-controlled government was materially misleading.
"This implied that the public did not have vital facts which may have been highly relevant to their evaluation of the presenter and the information he shared.
"Trust is at the core of the connection between a broadcaster and its viewers, especially for a state-funded media outlet such as the BBC.
"This failing had the potential to erode the significantly high levels of trust that audiences would have put in a factual film from the broadcaster about the Gaza conflict."
The programme was pulled from the online platform in February after the narrator's personal associations were revealed, and in this past July an internal BBC review found it breached the broadcaster's editorial guidelines on accuracy.
A BBC spokesperson commented: "The Ofcom ruling is in agreement with the conclusions of Peter Johnston's review, that there was a major oversight in the film in relation to the BBC's Editorial Guidelines on truthfulness, which reflects Rule 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we comply with Ofcom's decision in complete. We will follow the penalty as soon as the date and wording are confirmed."