The public service broadcaster was found to have committed a "serious breach" of broadcasting rules by omitting to mention that the presenter of a film about the Gaza situation was the child of a Hamas representative, as determined by UK media regulator Ofcom.
An investigation by the media regulator into the documentary titled Gaza: How to Survive a Warzone has concluded that the documentary was "significantly deceptive".
The BBC's director general had earlier expressed regret, saying there had been "a serious error in relation to truthfulness".
The authority has instructed the BBC to broadcast a prime-time announcement about its decisions.
"Given this constitutes a significant violation of our regulations, we are instructing the BBC to broadcast a announcement of our findings against it on the BBC's second channel at nine o'clock in the evening, with a timing to be determined," it said.
'Possibility to Erode Credibility'
The watchdog's announcement declared: "Our probe found that the film's lack of disclosure that the narrator's male guardian served in a role in the Hamas-run administration was materially misleading.
"This implied that the viewers did not have essential details which may have been extremely pertinent to their evaluation of the voice and the details he presented.
"Trust is at the heart of the connection between a television network and its viewers, especially for a national broadcasting corporation such as the public broadcaster.
"This oversight had the possibility to erode the very considerable amounts of credibility that viewers would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The documentary was withdrawn from the online platform in last February after the presenter's personal associations were revealed, and in July an corporation's own inquiry concluded it violated the corporation's content policies on accuracy.
A BBC spokesperson said: "The Ofcom ruling is in line with the results of Peter Johnston's review, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to regulation 2.2 of the regulator's media standards.
"We have apologised for this and we accept Ofcom's decision in its entirety. We will follow the penalty as soon as the schedule and wording are finalised."