The public service broadcaster was found to have committed a "major breach" of industry standards by failing to disclose that the voice of a documentary about the Gaza situation was the son of a Hamas official, as ruled by UK media regulator Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has found that the documentary was "materially misleading".
The BBC's director general had already issued an apology, saying there had been "a major oversight in relation to accuracy".
Ofcom has directed the corporation to broadcast a prime-time declaration about its conclusions.
"Given this constitutes a significant violation of our rules, we are instructing the BBC to transmit a message of our conclusions against it on BBC Two at nine o'clock in the evening, with a schedule to be finalised," it said.
'Potential to Erode Confidence'
The regulator's statement said: "The inquiry we conducted found that the programme's omission to reveal that the voice's parent served in a position in the Hamas-administered authority was materially misleading.
"This implied that the viewers did not have critical information which may have been very significant to their evaluation of the narrator and the information he shared.
"Trust is at the heart of the connection between a broadcaster and its audience, especially for a state-funded media outlet such as the public broadcaster.
"This oversight had the possibility to erode the significantly high degrees of confidence that audiences would have put in a BBC factual programme about the Gaza conflict."
The programme was withdrawn from the online platform in last February after the narrator's personal associations came to light, and in the month of July an broadcaster's internal assessment determined it violated the organization's editorial guidelines on factual correctness.
A BBC spokesperson said: "The regulator's decision is in line with the conclusions of the internal assessment, that there was a significant failing in the documentary in relation to the BBC's Editorial Guidelines on accuracy, which aligns with Rule 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with the regulator's ruling in its entirety. We will follow the directive as soon as the date and wording are confirmed."
