The public service broadcaster engaged in a "significant breach" of industry standards by not revealing that the presenter of a documentary about Gaza was the child of a Hamas official, as determined by regulatory body Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has concluded that the film was "significantly deceptive".
The chief executive of the broadcaster had already issued an apology, saying there had been "a serious error in relation to factual correctness".
Ofcom has ordered the corporation to transmit a prime-time announcement about its findings.
"Since this amounts to a significant violation of our code, we are ordering the broadcaster to broadcast a announcement of our findings against it on BBC2 at 21:00, with a timing to be determined," the statement read.
'Risk to Damage Credibility'
The watchdog's report said: "Our probe found that the programme's omission to reveal that the presenter's male guardian served in a post in the Hamas-controlled authority was substantially inaccurate.
"Consequently that the audience did not have vital facts which may have been highly relevant to their assessment of the narrator and the information he provided.
"Confidence is at the center of the relationship between a broadcaster and its viewers, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the risk to undermine the very considerable amounts of trust that viewers would have put in a documentary produced by the BBC about the conflict in Gaza."
The programme was pulled from the online platform in last February after the presenter's familial connections came to light, and in July an corporation's own inquiry concluded it breached the organization's editorial guidelines on truthfulness.
A representative for the broadcaster stated: "The regulator's decision is in line with the results of the corporation's inquiry, that there was a significant failing in the film in relation to the BBC's Editorial Guidelines on truthfulness, which corresponds to clause 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we comply with the authority's determination in its entirety. We will adhere to the directive as soon as the schedule and wording are determined."