The public service broadcaster committed a "major breach" of media regulations 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 inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The BBC's director general had previously apologised, saying there had been "a major oversight in relation to factual correctness".
Ofcom has directed the corporation to air a prime-time statement about its conclusions.
"As this represents a significant violation of our rules, we are directing the corporation to air a message of our conclusions against it on BBC Two at 9pm, with a timing to be determined," the regulator stated.
'Risk to Erode Confidence'
The regulator's statement stated: "The inquiry we conducted found that the documentary's failure to disclose that the presenter's parent occupied a post in the Hamas-administered administration was substantially inaccurate.
"This implied that the audience did not have essential details which may have been extremely pertinent to their evaluation of the voice and the content he shared.
"Credibility is at the center of the connection between a broadcaster and its viewers, notably for a state-funded media outlet such as the public broadcaster.
"This failing had the risk to erode the significantly high levels of credibility that viewers would have placed in a documentary produced by the BBC about the conflict in Gaza."
The programme was pulled from the online platform in February after the presenter's familial connections emerged, and in July an broadcaster's internal assessment concluded it breached the organization's content policies on accuracy.
A representative for the broadcaster stated: "The authority's determination is in accordance with the findings of the corporation's inquiry, that there was a significant failing in the documentary in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with clause 2.2 of the regulator's media standards.
"We issued an apology for this and we comply with Ofcom's decision in its entirety. We will comply with the sanction as soon as the timing and wording are determined."