The public service broadcaster committed a "major breach" of broadcasting rules by omitting to mention that the presenter of a programme about the Gaza conflict was the son of a Hamas representative, as ruled by regulatory body Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The BBC's director general had previously apologised, saying there had been "a significant failing in relation to factual correctness".
Ofcom has directed the BBC to broadcast a prime-time announcement about its findings.
"Since this amounts to a significant violation of our regulations, we are ordering the BBC to air a announcement of our findings against it on BBC2 at nine o'clock in the evening, with a date to be finalised," it said.
'Possibility to Undermine Credibility'
The authority's report stated: "Our investigation determined that the programme's omission to reveal that the narrator's father occupied a role in the Hamas-administered administration was significantly deceptive.
"It meant that the public did not have essential details which may have been highly relevant to their judgment of the narrator and the details he provided.
"Confidence is at the heart of the bond between a broadcaster and its audience, notably for a state-funded media outlet such as the public broadcaster.
"This failing had the potential to undermine the significantly high levels of trust that the public would have put in a factual film from the broadcaster about the Israel-Gaza war."
The documentary was withdrawn from the online platform in the month of February after the narrator's personal associations emerged, and in July an corporation's own inquiry determined it infringed the corporation's journalistic standards on truthfulness.
A representative for the broadcaster stated: "The regulator's decision is in accordance with the findings of the corporation's inquiry, that there was a major oversight in the programme in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we comply with the authority's determination in full. We will follow the directive as soon as the schedule and language are confirmed."