The public service broadcaster was found to have committed a "serious breach" of broadcasting rules by failing to disclose that the narrator of a film about Gaza was the son of a Hamas representative, as ruled by British broadcasting authority Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the documentary was "substantially inaccurate".
The head of the BBC had previously apologised, saying there had been "a major oversight in relation to truthfulness".
The authority has ordered the BBC to transmit a peak-time statement about its decisions.
"Since this amounts to a significant violation of our code, we are ordering the BBC to broadcast a statement of our conclusions against it on BBC2 at 9pm, with a schedule to be finalised," it said.
'Risk to Undermine Credibility'
The regulator's statement said: "The inquiry we conducted concluded that the documentary's failure to disclose that the presenter's father held a position in the Hamas-run administration was substantially inaccurate.
"Consequently that the public did not have critical information which may have been highly relevant to their evaluation of the narrator and the content he provided.
"Trust is at the heart of the bond between a television network and its audience, particularly for a public service broadcaster such as the British Broadcasting Corporation.
"This failing had the potential to erode the very considerable amounts of trust that audiences would have placed in a BBC factual programme about the Israel-Gaza war."
The programme was removed from iPlayer in the month of February after the presenter's familial connections emerged, and in the month of July an internal BBC review determined it breached the organization's journalistic standards on factual correctness.
A representative for the broadcaster commented: "The regulator's decision is in line with the results of the corporation's inquiry, that there was a significant failing in the film in relation to the BBC's Editorial Guidelines on factual correctness, which corresponds to Rule 2.2 of the regulator's media standards.
"We have apologised for this and we agree with the authority's determination in full. We will follow the sanction as soon as the timing and wording are determined."
