The public service broadcaster was found to have committed a "major breach" of media regulations by not revealing that the presenter of a programme about Gaza was the son of a Hamas official, according to regulatory body Ofcom.
An probe by Ofcom into Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The BBC's director general had already issued an apology, noting there had been "a major oversight in relation to accuracy".
The regulator has directed the broadcaster to transmit a evening statement about its decisions.
"As this represents a serious breach of our rules, we are ordering the broadcaster to air a announcement of our conclusions against it on the BBC's second channel at 9pm, with a schedule to be finalised," it said.
'Risk to Damage Confidence'
The regulator's statement said: "Our investigation determined that the film's omission to reveal that the voice's father held a role in the Hamas-run administration was substantially inaccurate.
"This implied that the viewers did not have essential details which may have been extremely pertinent to their assessment of the presenter and the content he provided.
"Credibility is at the heart of the connection between a broadcaster and its audience, particularly for a public service broadcaster such as the British Broadcasting Corporation.
"This error had the risk to undermine the exceptionally strong degrees of credibility that the public would have placed in a BBC factual programme about the Israel-Gaza war."
The documentary was pulled from iPlayer in February after the narrator's family links came to light, and in the month of July an corporation's own inquiry determined it infringed the organization's journalistic standards on accuracy.
A BBC spokesperson stated: "The Ofcom ruling is in line with the findings of the corporation's inquiry, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on truthfulness, which aligns with clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept the regulator's ruling in complete. We will follow the directive as soon as the timing and language are confirmed."
