The public service broadcaster engaged in a "serious breach" of industry standards by omitting to mention that the presenter of a programme about Gaza was the child of a Hamas representative, as ruled by British broadcasting authority Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The head of the BBC had already issued an apology, saying there had been "a significant failing in relation to factual correctness".
The authority has directed the corporation to transmit a evening statement about its findings.
"As this represents a significant violation of our rules, we are ordering the BBC to air a message of our findings against it on BBC Two at nine o'clock in the evening, with a schedule to be finalised," the statement read.
'Potential to Undermine Confidence'
The authority's statement said: "The inquiry we conducted determined that the documentary's failure to disclose that the presenter's parent served in a role in the Hamas-run authority was significantly deceptive.
"It meant that the viewers did not have vital facts which may have been very significant to their assessment of the narrator and the information he shared.
"Trust is at the heart of the bond between a television network and its viewers, especially for a public service broadcaster such as the BBC.
"This error had the potential to damage the very considerable degrees of trust that viewers would have put in a BBC factual programme about the Israel-Gaza war."
The programme was withdrawn from the online platform in February after the narrator's personal associations came to light, and in this past July an corporation's own inquiry determined it breached the broadcaster's content policies on accuracy.
A BBC spokesperson stated: "The Ofcom ruling is in line with the conclusions of the corporation's inquiry, that there was a serious error in the film in relation to the corporation's content standards on truthfulness, which aligns with clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we accept the authority's determination in complete. We will adhere to the directive as soon as the date and language are determined."