The British broadcaster was found to have committed a "significant breach" of broadcasting rules by failing to disclose that the presenter of a documentary about the Gaza situation was the offspring of a Hamas representative, according to regulatory body Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has found that the programme was "substantially inaccurate".
The BBC's director general had already issued an apology, noting there had been "a major oversight in relation to factual correctness".
Ofcom has ordered the corporation to broadcast a prime-time statement about its decisions.
"As this represents a major infringement of our regulations, we are directing the BBC to transmit a announcement of our determinations against it on BBC2 at 9pm, with a date to be confirmed," it said.
'Risk to Erode Confidence'
The watchdog's announcement stated: "Our investigation concluded that the documentary's omission to reveal that the presenter's male guardian held a position in the Hamas-controlled authority was materially misleading.
"Consequently that the viewers did not have vital facts which may have been very significant to their judgment of the voice and the content he presented.
"Confidence is at the heart of the bond between a television network and its public, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This failing had the possibility to damage the significantly high degrees of credibility that the public would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The programme was removed from the online platform in last February after the narrator's family links emerged, and in the month of July an corporation's own inquiry found it violated the corporation's editorial guidelines on factual correctness.
A representative for the broadcaster said: "The Ofcom ruling is in agreement with the results of the internal assessment, that there was a serious error in the programme in relation to the BBC's Editorial Guidelines on truthfulness, which corresponds to clause 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept the authority's determination in full. We will comply with the penalty as soon as the timing and wording are determined."