The public service broadcaster committed a "major breach" of media regulations by not revealing that the presenter of a documentary about the Gaza situation was the child of a Hamas official, according to regulatory body Ofcom.
An probe by the broadcasting watchdog into Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The BBC's director general had previously apologised, saying there had been "a significant failing in relation to factual correctness".
The authority has instructed the BBC to transmit a prime-time announcement about its decisions.
"As this represents a major infringement of our regulations, we are ordering the broadcaster to broadcast a statement of our conclusions against it on the BBC's second channel at nine o'clock in the evening, with a timing to be determined," it said.
'Risk to Erode Confidence'
The regulator's statement stated: "Our probe determined that the documentary's failure to disclose that the presenter's father held a position in the Hamas-run government was materially misleading.
"This implied that the audience did not have essential details which may have been extremely pertinent to their assessment of the voice and the details he provided.
"Confidence is at the center of the bond between a television network and its public, especially for a state-funded media outlet such as the BBC.
"This error had the potential to damage the exceptionally strong amounts of trust that viewers would have put in a BBC factual programme about the Gaza conflict."
The film was removed from iPlayer in last February after the narrator's family links emerged, and in this past July an internal BBC review found it infringed the corporation's editorial guidelines on truthfulness.
A representative for the broadcaster said: "The regulator's decision is in accordance with the results of Peter Johnston's review, that there was a major oversight in the documentary in relation to the corporation's content standards on factual correctness, which reflects clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we comply with the regulator's ruling in full. We will comply with the penalty as soon as the timing and wording are finalised."
