The British broadcaster committed a "major breach" of broadcasting rules by failing to disclose that the presenter of a documentary about the Gaza situation was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the film was "substantially inaccurate".
The BBC's director general had earlier expressed regret, noting there had been "a significant failing in relation to accuracy".
The regulator has ordered the corporation to broadcast a evening announcement about its conclusions.
"Since this amounts to a serious breach of our code, we are ordering the BBC to transmit a statement of our determinations against it on BBC Two at 21:00, with a timing to be determined," it said.
'Risk to Undermine Credibility'
The authority's report stated: "Our investigation concluded that the film's lack of disclosure that the presenter's father held a post in the Hamas-administered authority was significantly deceptive.
"This implied that the audience did not have critical information which may have been extremely pertinent to their judgment of the narrator and the information he provided.
"Trust is at the center of the relationship between a television network and its viewers, especially for a public service broadcaster such as the public broadcaster.
"This oversight had the potential to damage the significantly high levels of credibility that viewers would have placed in a BBC factual programme about the Gaza conflict."
The programme was pulled from iPlayer in last February after the narrator's family links came to light, and in the month of July an broadcaster's internal assessment determined it violated the organization's editorial guidelines on truthfulness.
A BBC spokesperson commented: "The authority's determination is in agreement with the results of Peter Johnston's review, that there was a serious error in the programme in relation to the BBC's Editorial Guidelines 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 its entirety. We will follow the directive as soon as the date and wording are confirmed."