The public service broadcaster engaged in a "significant breach" of broadcasting rules by omitting to mention that the presenter of a programme about Gaza was the son of a Hamas administrator, as ruled by regulatory body Ofcom.
An probe by the media regulator into the documentary titled Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The chief executive of the broadcaster had already issued an apology, stating there had been "a significant failing in relation to factual correctness".
The authority has ordered the corporation to broadcast a evening declaration about its conclusions.
"As this represents a major infringement of our regulations, we are instructing the BBC to air a statement of our findings against it on the BBC's second channel at nine o'clock in the evening, with a timing to be determined," the regulator stated.
'Possibility to Erode Trust'
The regulator's statement said: "Our probe concluded that the documentary's failure to disclose that the presenter's male guardian held a position in the Hamas-administered government was substantially inaccurate.
"Consequently that the viewers did not have vital facts which may have been extremely pertinent to their judgment of the voice and the content he provided.
"Confidence is at the center of the bond between a television network and its viewers, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This oversight had the risk to erode the very considerable degrees of credibility that the public would have placed in a BBC factual programme about the Israel-Gaza war."
The programme was withdrawn from the online platform in last February after the boy's personal associations came to light, and in this past July an corporation's own inquiry determined it infringed the corporation's content policies on factual correctness.
A corporation official said: "The authority's determination is in agreement with the findings of the internal assessment, that there was a serious error in the film in relation to the corporation's content standards on truthfulness, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we accept Ofcom's decision in complete. We will adhere to the sanction as soon as the timing and language are determined."