The public service broadcaster committed a "serious breach" of industry standards by omitting to mention that the presenter of a documentary about the Gaza situation was the offspring of a Hamas official, as ruled by UK media regulator Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The head of the BBC had earlier expressed regret, saying there had been "a serious error in relation to truthfulness".
Ofcom has instructed the corporation to broadcast a peak-time statement about its decisions.
"Since this amounts to a major infringement of our regulations, we are instructing the corporation to transmit a message of our determinations against it on the BBC's second channel at 9pm, with a schedule to be determined," it said.
'Risk to Undermine Confidence'
The authority's statement declared: "Our investigation concluded that the film's omission to reveal that the narrator's father occupied a position in the Hamas-administered administration was significantly deceptive.
"It meant that the viewers did not have vital facts which may have been very significant to their evaluation of the narrator and the content he shared.
"Credibility is at the heart of the bond between a media organization and its public, especially for a public service broadcaster such as the public broadcaster.
"This error had the possibility to erode the significantly high degrees of trust that viewers would have placed in a factual film from the broadcaster about the Gaza conflict."
The programme was pulled from the online platform in the month of February after the narrator's family links were revealed, and in the month of July an broadcaster's internal assessment found it infringed the corporation's editorial guidelines on accuracy.
A representative for the broadcaster said: "The authority's determination is in accordance with the results of the internal assessment, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on accuracy, which aligns with Rule 2.2 of the regulator's media standards.
"We issued an apology for this and we agree with Ofcom's decision in complete. We will follow the directive as soon as the date and wording are confirmed."