The public service broadcaster engaged in a "major breach" of broadcasting rules by failing to disclose that the voice of a documentary about the Gaza situation was the son of a Hamas administrator, as determined by regulatory body Ofcom.
An probe by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has concluded that the programme was "substantially inaccurate".
The BBC's director general had previously apologised, noting there had been "a significant failing in relation to truthfulness".
Ofcom has instructed the BBC to broadcast a peak-time statement about its decisions.
"As this represents a significant violation of our code, we are ordering the corporation to air a message of our conclusions against it on BBC Two at 21:00, with a date to be finalised," it said.
'Possibility to Undermine Trust'
The watchdog's report said: "The inquiry we conducted concluded that the documentary's lack of disclosure that the voice's male guardian held a post in the Hamas-controlled administration was materially misleading.
"Consequently that the viewers did not have vital facts which may have been highly relevant to their evaluation of the narrator and the details he presented.
"Trust is at the heart of the bond between a broadcaster and its viewers, especially for a state-funded media outlet such as the public broadcaster.
"This oversight had the possibility to undermine the significantly high degrees of trust that the public would have put in a factual film from the broadcaster about the Gaza conflict."
The documentary was removed from the BBC's streaming service in February after the narrator's personal associations came to light, and in July an internal BBC review found it violated the organization's journalistic standards on truthfulness.
A representative for the broadcaster said: "The authority's determination is in agreement with the results of the corporation's inquiry, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on truthfulness, which aligns with Rule 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we accept the authority's determination in complete. We will follow the directive as soon as the date and wording are confirmed."