The public service broadcaster committed a "major breach" of media regulations by omitting to mention that the narrator of a documentary about the Gaza situation was the child of a Hamas administrator, as determined by UK media regulator Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The chief executive of the broadcaster had earlier expressed regret, stating there had been "a significant failing in relation to truthfulness".
The regulator has directed the corporation to broadcast a evening announcement about its findings.
"Given this constitutes a major infringement of our code, we are ordering the broadcaster to transmit a message of our findings against it on BBC2 at nine o'clock in the evening, with a date to be determined," the statement read.
'Potential to Undermine Trust'
The regulator's statement declared: "Our probe found that the film's failure to disclose that the presenter's parent held a post in the Hamas-administered government was materially misleading.
"Consequently that the audience did not have essential details which may have been highly relevant to their assessment of the presenter and the information he presented.
"Trust is at the core of the connection between a television network and its audience, especially for a public service broadcaster such as the public broadcaster.
"This error had the potential to damage the significantly high degrees of confidence that the public would have put in a BBC factual programme about the Gaza conflict."
The documentary was pulled from iPlayer in February after the narrator's personal associations emerged, and in this past July an corporation's own inquiry concluded it breached the corporation's editorial guidelines on factual correctness.
A corporation official stated: "The regulator's decision is in accordance with the findings of the internal assessment, that there was a serious error in the documentary in relation to the corporation's content standards on truthfulness, which aligns with regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept the authority's determination in full. We will comply with the directive as soon as the timing and wording are determined."