The public service broadcaster engaged in a "major breach" of media regulations by omitting to mention that the narrator of a documentary about Gaza was the son of a Hamas official, as ruled by UK media regulator Ofcom.
An probe by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The head of the BBC had previously apologised, saying there had been "a major oversight in relation to factual correctness".
Ofcom has directed the BBC to air a peak-time announcement about its conclusions.
"Since this amounts to a serious breach of our rules, we are ordering the BBC to transmit a announcement of our determinations against it on BBC2 at 21:00, with a date to be determined," it said.
'Risk to Undermine Trust'
The regulator's statement stated: "The inquiry we conducted concluded that the documentary's lack of disclosure that the voice's parent held a position in the Hamas-controlled administration was substantially inaccurate.
"This implied that the audience did not have vital facts which may have been extremely pertinent to their assessment of the narrator and the content he provided.
"Credibility is at the core of the connection between a television network and its viewers, particularly for a state-funded media outlet such as the public broadcaster.
"This error had the possibility to erode the significantly high amounts of trust that audiences would have invested in a factual film from the broadcaster about the conflict in Gaza."
The documentary was removed from iPlayer in February after the boy's family links were revealed, and in this past July an corporation's own inquiry concluded it infringed the corporation's journalistic standards on accuracy.
A corporation official said: "The regulator's decision is in agreement with the conclusions of the corporation's inquiry, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on accuracy, which corresponds to clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we agree with the regulator's ruling in complete. We will adhere to the penalty as soon as the timing and language are confirmed."