The public service broadcaster engaged in a "major breach" of industry standards by not revealing that the voice of a programme about Gaza was the son of a Hamas administrator, according to UK media regulator Ofcom.
An inquiry by Ofcom into the programme Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The BBC's director general had already issued an apology, noting there had been "a serious error in relation to truthfulness".
The authority has directed the BBC to broadcast a prime-time statement about its findings.
"Since this amounts to a serious breach of our rules, we are ordering the broadcaster to air a message of our findings against it on BBC2 at 9pm, with a timing to be confirmed," the regulator stated.
'Risk to Undermine Trust'
The watchdog's report declared: "The inquiry we conducted determined that the film's failure to disclose that the presenter's parent held a role in the Hamas-administered authority was materially misleading.
"It meant that the audience did not have critical information which may have been highly relevant to their evaluation of the presenter and the information he presented.
"Trust is at the core of the relationship between a broadcaster and its audience, particularly for a public service broadcaster such as the British Broadcasting Corporation.
"This error had the possibility to erode the very considerable degrees of trust that audiences would have invested in a documentary produced by the BBC about the conflict in Gaza."
The film was pulled from iPlayer in the month of February after the presenter's family links were revealed, and in the month of July an broadcaster's internal assessment concluded it breached the organization's content policies on factual correctness.
A representative for the broadcaster said: "The Ofcom ruling is in accordance with the conclusions of the corporation's inquiry, that there was a serious error in the documentary in relation to the BBC's Editorial Guidelines on factual correctness, which reflects clause 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we comply with the regulator's ruling in its entirety. We will comply with the sanction as soon as the date and wording are determined."