The public service broadcaster was found to have committed a "significant breach" of media regulations by omitting to mention that the presenter of a film about the Gaza conflict was the son of a Hamas representative, as determined by British broadcasting authority Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The BBC's director general had already issued an apology, noting there had been "a serious error in relation to truthfulness".
The authority has directed the broadcaster to broadcast a peak-time statement about its decisions.
"Since this amounts to a major infringement of our rules, we are ordering the BBC to transmit a announcement of our determinations against it on BBC Two at nine o'clock in the evening, with a schedule to be finalised," it said.
'Possibility to Damage Confidence'
The watchdog's statement declared: "Our investigation concluded that the film's lack of disclosure that the presenter's father held a position in the Hamas-controlled authority was significantly deceptive.
"Consequently that the public did not have critical information which may have been extremely pertinent to their judgment of the voice and the information he provided.
"Credibility is at the core of the connection between a television network and its viewers, particularly for a national broadcasting corporation such as the BBC.
"This error had the possibility to damage the very considerable amounts of credibility that the public would have placed in a documentary produced by the BBC about the Israel-Gaza war."
The programme was pulled from the online platform in February after the presenter's personal associations came to light, and in July an broadcaster's internal assessment found it infringed the corporation's journalistic standards on truthfulness.
A BBC spokesperson said: "The authority's determination is in line with the conclusions of Peter Johnston's review, that there was a serious error in the programme in relation to the BBC's Editorial Guidelines on truthfulness, which reflects regulation 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept Ofcom's decision in its entirety. We will adhere to the sanction as soon as the schedule and wording are confirmed."