The public service broadcaster was found to have committed a "major breach" of broadcasting rules by omitting to mention that the voice of a programme about the Gaza situation was the offspring of a Hamas representative, according to UK media regulator Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has found that the programme was "substantially inaccurate".
The head of the BBC had already issued an apology, stating there had been "a serious error in relation to factual correctness".
The authority has directed the corporation to broadcast a evening announcement about its decisions.
"Since this amounts to a major infringement of our code, we are instructing the corporation to air a announcement of our determinations against it on the BBC's second channel at 21:00, with a schedule to be determined," the statement read.
'Potential to Damage Confidence'
The authority's statement stated: "The inquiry we conducted determined that the programme's omission to reveal that the presenter's father served in a post in the Hamas-administered government was substantially inaccurate.
"Consequently that the viewers did not have vital facts which may have been highly relevant to their assessment of the narrator and the content he provided.
"Trust is at the core of the bond between a television network and its viewers, especially for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the risk to erode the exceptionally strong degrees of confidence that viewers would have put in a factual film from the broadcaster about the conflict in Gaza."
The programme was removed from the online platform in February after the presenter's familial connections came to light, and in this past July an corporation's own inquiry concluded it infringed the broadcaster's journalistic standards on accuracy.
A BBC spokesperson commented: "The authority's determination is in agreement with the findings of the internal assessment, that there was a significant failing in the film 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 date and language are finalised."
