The British broadcaster committed a "major breach" of media regulations by failing to disclose that the voice of a documentary about the Gaza situation was the child of a Hamas official, as determined by regulatory body Ofcom.
An probe by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the documentary was "substantially inaccurate".
The BBC's director general had earlier expressed regret, saying there had been "a serious error in relation to factual correctness".
The regulator has ordered the broadcaster to broadcast a prime-time announcement about its decisions.
"Since this amounts to a serious breach of our regulations, we are ordering the BBC to broadcast a statement of our findings against it on BBC2 at 21:00, with a schedule to be determined," the statement read.
'Risk to Erode Trust'
The authority's statement said: "Our investigation concluded that the programme's omission to reveal that the narrator's father served in a role in the Hamas-administered administration was significantly deceptive.
"Consequently that the viewers did not have essential details which may have been highly relevant to their evaluation of the voice and the content he presented.
"Credibility is at the center of the connection between a broadcaster and its public, particularly for a public service broadcaster such as the British Broadcasting Corporation.
"This oversight had the possibility to undermine the significantly high amounts of trust that viewers would have put in a documentary produced by the BBC about the conflict in Gaza."
The film was pulled from the online platform in last February after the narrator's familial connections came to light, and in July an broadcaster's internal assessment determined it infringed the corporation's content policies on truthfulness.
A BBC spokesperson said: "The Ofcom ruling is in accordance with the findings of the internal assessment, that there was a serious error in the documentary in relation to the BBC's Editorial Guidelines on truthfulness, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with the regulator's ruling in full. We will adhere to the sanction as soon as the date and wording are confirmed."