The public service broadcaster engaged in a "serious breach" of media regulations by not revealing that the narrator of a documentary about Gaza was the offspring of a Hamas official, as ruled by regulatory body Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the documentary was "significantly deceptive".
The BBC's director general had earlier expressed regret, saying there had been "a serious error in relation to accuracy".
Ofcom has instructed the broadcaster to air a evening statement about its findings.
"Given this constitutes a serious breach of our regulations, we are ordering the broadcaster to transmit a message of our determinations against it on the BBC's second channel at 9pm, with a date to be finalised," it said.
'Possibility to Damage Confidence'
The regulator's announcement said: "Our probe found that the documentary's omission to reveal that the presenter's parent occupied a post in the Hamas-controlled authority was materially misleading.
"It meant that the audience did not have vital facts which may have been extremely pertinent to their assessment of the voice and the details he shared.
"Trust is at the core of the relationship between a television network and its audience, especially for a national broadcasting corporation such as the public broadcaster.
"This oversight had the risk to damage the significantly high levels of confidence that the public would have placed in a documentary produced by the BBC about the Israel-Gaza war."
The programme was withdrawn from the online platform in the month of February after the narrator's familial connections came to light, and in this past July an broadcaster's internal assessment found it breached the corporation's journalistic standards on accuracy.
A corporation official commented: "The Ofcom ruling is in accordance with the conclusions of the internal assessment, that there was a serious error in the film 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 accept the authority's determination in its entirety. We will adhere to the penalty as soon as the schedule and wording are determined."