The public service broadcaster was found to have committed a "major breach" of broadcasting rules by omitting to mention that the narrator of a documentary about the Gaza conflict was the son of a Hamas official, as determined by regulatory body Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The head of the BBC had earlier expressed regret, noting there had been "a serious error in relation to truthfulness".
The regulator has instructed the corporation to broadcast a prime-time statement about its decisions.
"Since this amounts to a major infringement of our code, we are ordering the broadcaster to transmit a message of our findings against it on BBC Two at 9pm, with a schedule to be confirmed," the statement read.
'Possibility to Erode Trust'
The watchdog's statement declared: "The inquiry we conducted determined that the film's lack of disclosure that the voice's male guardian held a position in the Hamas-administered authority was significantly deceptive.
"It meant that the audience did not have vital facts which may have been extremely pertinent to their judgment of the voice and the content he provided.
"Trust is at the heart of the bond between a media organization and its viewers, notably for a national broadcasting corporation such as the BBC.
"This oversight had the potential to erode the exceptionally strong degrees of confidence that viewers would have placed in a documentary produced by the BBC about the Gaza conflict."
The documentary was pulled from the BBC's streaming service in last February after the presenter's family links emerged, and in this past July an corporation's own inquiry found it breached the organization's content policies on truthfulness.
A representative for the broadcaster said: "The Ofcom ruling is in line with the results of Peter Johnston's review, that there was a serious error in the documentary in relation to the corporation's content standards on truthfulness, which aligns with clause 2.2 of the regulator's media standards.
"We issued an apology for this and we comply with Ofcom's decision in full. We will follow the sanction as soon as the schedule and language are determined."