The public service broadcaster committed a "serious breach" of media regulations by omitting to mention that the presenter of a film about the Gaza conflict was the son of a Hamas official, as determined by regulatory body Ofcom.
An probe by Ofcom into the documentary titled Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The head of the BBC had earlier expressed regret, saying there had been "a major oversight in relation to truthfulness".
The regulator has ordered the BBC to air a peak-time statement about its conclusions.
"Since this amounts to a significant violation of our regulations, we are ordering the broadcaster to broadcast a message of our conclusions against it on the BBC's second channel at nine o'clock in the evening, with a date to be confirmed," the statement read.
'Possibility to Erode Credibility'
The watchdog's announcement said: "Our probe determined that the programme's failure to disclose that the narrator's male guardian held a position in the Hamas-administered administration was significantly deceptive.
"It meant that the viewers did not have essential details which may have been extremely pertinent to their evaluation of the presenter and the information he shared.
"Confidence is at the heart of the connection between a media organization and its viewers, especially for a public service broadcaster such as the British Broadcasting Corporation.
"This oversight had the possibility to damage the very considerable amounts of confidence that the public would have put in a factual film from the broadcaster about the Israel-Gaza war."
The programme was withdrawn from the online platform in February after the presenter's personal associations were revealed, and in this past July an broadcaster's internal assessment concluded it infringed the organization's editorial guidelines on factual correctness.
A corporation official commented: "The regulator's decision is in accordance with the results of Peter Johnston's review, that there was a major oversight in the film in relation to the corporation's content standards on factual correctness, which aligns with Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with the authority's determination in full. We will comply with the sanction as soon as the timing and wording are confirmed."