The British broadcaster was found to have committed a "major breach" of industry standards by failing to disclose that the voice of a programme about Gaza was the son of a Hamas official, as determined by regulatory body Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The head of the BBC had earlier expressed regret, noting there had been "a serious error in relation to truthfulness".
The regulator has instructed the corporation to broadcast a evening declaration about its decisions.
"Since this amounts to a serious breach of our code, we are instructing the broadcaster to broadcast a statement of our findings against it on BBC2 at 9pm, with a schedule to be finalised," the regulator stated.
'Risk to Damage Trust'
The authority's announcement said: "Our probe concluded that the film's failure to disclose that the voice's father occupied a position in the Hamas-run authority was substantially inaccurate.
"Consequently that the public did not have vital facts which may have been very significant to their evaluation of the presenter and the details he presented.
"Confidence is at the center of the connection between a media organization and its public, especially for a public service broadcaster such as the BBC.
"This error had the potential to undermine the exceptionally strong levels of trust that viewers would have invested in a factual film from the broadcaster about the Gaza conflict."
The documentary was withdrawn from the online platform in the month of February after the narrator's familial connections were revealed, and in this past July an corporation's own inquiry concluded it infringed the corporation's content policies on truthfulness.
A representative for the broadcaster said: "The authority's determination is in line with the results of the corporation's inquiry, that there was a significant failing in the documentary in relation to the corporation's content standards on truthfulness, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with the regulator's ruling in its entirety. We will adhere to the penalty as soon as the date and language are finalised."