The public service broadcaster engaged in a "serious breach" of media regulations by not revealing that the voice of a film about Gaza was the offspring of a Hamas administrator, as ruled by UK media regulator Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the documentary was "significantly deceptive".
The head of the BBC had previously apologised, noting there had been "a serious error in relation to truthfulness".
The regulator has ordered the BBC to air a prime-time statement about its conclusions.
"Since this amounts to a major infringement of our regulations, we are instructing the broadcaster to broadcast a statement of our findings against it on the BBC's second channel at nine o'clock in the evening, with a schedule to be finalised," the regulator stated.
'Potential to Erode Confidence'
The watchdog's statement said: "Our probe found that the documentary's failure to disclose that the voice's parent served in a position in the Hamas-run administration was materially misleading.
"It meant that the public did not have essential details which may have been extremely pertinent to their evaluation of the presenter and the information he presented.
"Trust is at the center of the connection between a media organization and its audience, notably for a state-funded media outlet such as the public broadcaster.
"This failing had the risk to erode the very considerable degrees of confidence that audiences would have invested in a documentary produced by the BBC about the conflict in Gaza."
The programme was pulled from the online platform in the month of February after the presenter's familial connections emerged, and in the month of July an internal BBC review concluded it violated the broadcaster's content policies on accuracy.
A BBC spokesperson stated: "The regulator's decision is in agreement with the results of Peter Johnston's review, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on truthfulness, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we accept Ofcom's decision in complete. We will follow the directive as soon as the timing and wording are determined."