The public service broadcaster was found to have committed a "significant breach" of industry standards by not revealing that the presenter of a programme about the Gaza situation was the offspring of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An inquiry by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the film was "substantially inaccurate".
The chief executive of the broadcaster had earlier expressed regret, stating there had been "a significant failing in relation to truthfulness".
The regulator has directed the BBC to transmit a evening announcement about its conclusions.
"As this represents a significant violation of our regulations, we are instructing the broadcaster to transmit a announcement of our findings against it on BBC2 at nine o'clock in the evening, with a schedule to be finalised," it said.
'Risk to Damage Trust'
The watchdog's statement declared: "Our investigation determined that the film's omission to reveal that the voice's parent served in a role in the Hamas-controlled administration was substantially inaccurate.
"This implied that the audience did not have essential details which may have been extremely pertinent to their evaluation of the narrator and the information he presented.
"Confidence is at the center of the bond between a television network and its public, particularly for a state-funded media outlet such as the public broadcaster.
"This failing had the possibility to damage the very considerable degrees of credibility that audiences would have placed in a factual film from the broadcaster about the Gaza conflict."
The documentary was removed from iPlayer in February after the presenter's personal associations were revealed, and in the month of July an corporation's own inquiry determined it infringed the broadcaster's editorial guidelines on truthfulness.
A BBC spokesperson stated: "The authority's determination is in line with the conclusions of the internal assessment, that there was a significant failing in the film in relation to the BBC's Editorial Guidelines on accuracy, which reflects regulation 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we agree with Ofcom's decision in full. We will comply with the penalty as soon as the timing and wording are confirmed."