The British broadcaster committed a "significant breach" of industry standards by omitting to mention that the presenter of a film about Gaza was the son of a Hamas representative, as ruled by regulatory body Ofcom.
An probe by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The BBC's director general had earlier expressed regret, saying there had been "a significant failing in relation to factual correctness".
The regulator has ordered the broadcaster to broadcast a prime-time statement about its conclusions.
"Given this constitutes a significant violation of our code, we are ordering the corporation to broadcast a message of our determinations against it on the BBC's second channel at 21:00, with a schedule to be confirmed," the regulator stated.
'Potential to Erode Confidence'
The watchdog's statement stated: "Our probe concluded that the documentary's lack of disclosure that the presenter's father held a position in the Hamas-administered authority was substantially inaccurate.
"Consequently that the viewers did not have vital facts which may have been highly relevant to their assessment of the presenter and the information he presented.
"Confidence is at the center of the bond between a broadcaster and its viewers, notably for a state-funded media outlet such as the public broadcaster.
"This error had the potential to erode the very considerable degrees of confidence that viewers would have placed in a documentary produced by the BBC about the conflict in Gaza."
The documentary was withdrawn from iPlayer in the month of February after the presenter's family links emerged, and in the month of July an internal BBC review concluded it infringed the corporation's journalistic standards on truthfulness.
A corporation official said: "The Ofcom ruling is in accordance with the results of the internal assessment, that there was a significant failing in the documentary in relation to the broadcaster's journalistic policies on accuracy, which aligns with Rule 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we accept the authority's determination in complete. We will comply with the sanction as soon as the timing and language are confirmed."