The public service broadcaster engaged in a "significant breach" of media regulations by not revealing that the voice of a programme about the Gaza situation was the child of a Hamas official, as determined by regulatory body Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has determined that the film was "substantially inaccurate".
The chief executive of the broadcaster had earlier expressed regret, noting there had been "a significant failing in relation to truthfulness".
Ofcom has instructed the BBC to broadcast a peak-time announcement about its decisions.
"Since this amounts to a serious breach of our code, we are directing the broadcaster to air a announcement of our conclusions against it on the BBC's second channel at 9pm, with a date to be finalised," the regulator stated.
'Risk to Damage Trust'
The regulator's announcement declared: "Our investigation concluded that the film's lack of disclosure that the narrator's father held a role in the Hamas-run authority was significantly deceptive.
"This implied that the audience did not have vital facts which may have been extremely pertinent to their evaluation of the presenter and the content he provided.
"Confidence is at the heart of the relationship between a broadcaster and its viewers, particularly for a national broadcasting corporation such as the public broadcaster.
"This failing had the possibility to damage the significantly high amounts of confidence that audiences would have placed in a BBC factual programme about the Gaza conflict."
The programme was withdrawn from the BBC's streaming service in the month of February after the presenter's family links came to light, and in this past July an corporation's own inquiry found it infringed the corporation's editorial guidelines on truthfulness.
A corporation official said: "The Ofcom ruling is in accordance with the findings 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 corresponds to Rule 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we agree with Ofcom's decision in full. We will follow the directive as soon as the schedule and wording are confirmed."
