The public service broadcaster committed a "serious breach" of industry standards by omitting to mention that the narrator of a documentary about the Gaza conflict was the son of a Hamas representative, as determined by regulatory body Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The BBC's director general had already issued an apology, noting there had been "a significant failing in relation to accuracy".
Ofcom has instructed the corporation to air a evening declaration about its findings.
"Given this constitutes a significant violation of our code, we are directing the broadcaster to broadcast a statement of our findings against it on BBC Two at 21:00, with a date to be determined," it said.
'Risk to Damage Trust'
The regulator's announcement said: "The inquiry we conducted concluded that the film's lack of disclosure that the voice's male guardian occupied a role in the Hamas-administered government was significantly deceptive.
"It meant that the audience did not have vital facts which may have been highly relevant to their assessment of the presenter and the content he shared.
"Confidence is at the core of the bond between a broadcaster and its viewers, notably for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the possibility to damage the exceptionally strong degrees of credibility that viewers would have placed in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was removed from iPlayer in the month of February after the presenter's family links emerged, and in July an internal BBC review determined it infringed the organization's editorial guidelines on accuracy.
A BBC spokesperson commented: "The regulator's decision is in line with the results of the corporation's inquiry, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on truthfulness, which aligns with regulation 2.2 of the regulator's media standards.
"We have apologised for this and we comply with Ofcom's decision in complete. We will comply with the sanction as soon as the schedule and language are determined."