The British broadcaster committed a "significant breach" of industry standards by omitting to mention that the voice of a documentary about the Gaza situation was the child of a Hamas official, as determined by regulatory body Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The head of the BBC had already issued an apology, stating there had been "a serious error in relation to factual correctness".
The regulator has instructed the corporation to transmit a evening announcement about its findings.
"As this represents a major infringement of our regulations, we are directing the corporation to air a statement of our conclusions against it on the BBC's second channel at 21:00, with a date to be determined," it said.
'Risk to Undermine Confidence'
The authority's report declared: "The inquiry we conducted determined that the film's lack of disclosure that the presenter's father served in a role in the Hamas-run government was significantly deceptive.
"It meant that the audience did not have essential details which may have been extremely pertinent to their assessment of the narrator and the information he shared.
"Confidence is at the center of the bond between a television network and its audience, especially for a state-funded media outlet such as the public broadcaster.
"This oversight had the potential to undermine the exceptionally strong degrees of trust that audiences would have placed in a factual film from the broadcaster about the conflict in Gaza."
The programme was pulled from the online platform in February after the narrator's familial connections emerged, and in July an internal BBC review concluded it breached the corporation's editorial guidelines on truthfulness.
A corporation official stated: "The authority's determination is in accordance with the conclusions of Peter Johnston's review, that there was a significant failing in the programme in relation to the corporation's content standards on accuracy, which corresponds to clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we comply with Ofcom's decision in its entirety. We will follow the penalty as soon as the schedule and wording are finalised."