The public service broadcaster was found to have committed a "major breach" of media regulations by not revealing that the narrator of a programme about the Gaza conflict was the child of a Hamas official, as determined by regulatory body Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the programme was "materially misleading".
The chief executive of the broadcaster had already issued an apology, stating there had been "a serious error in relation to accuracy".
The regulator has instructed the corporation to air a prime-time declaration about its decisions.
"Since this amounts to a major infringement of our code, we are ordering the corporation to broadcast a message of our findings against it on BBC2 at 21:00, with a date to be determined," the statement read.
'Risk to Damage Confidence'
The authority's announcement said: "Our investigation determined that the film's failure to disclose that the narrator's father served in a post in the Hamas-run government was substantially inaccurate.
"It meant that the audience did not have vital facts which may have been highly relevant to their assessment of the narrator and the content he shared.
"Confidence is at the core of the bond between a media organization and its audience, particularly for a public service broadcaster such as the BBC.
"This oversight had the possibility to undermine the significantly high degrees of credibility that the public would have put in a documentary produced by the BBC about the Gaza conflict."
The programme was removed from the BBC's streaming service in the month of February after the narrator's personal associations were revealed, and in July an corporation's own inquiry concluded it breached the organization's editorial guidelines on accuracy.
A BBC spokesperson said: "The regulator's decision is in line with the results of the internal assessment, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we comply with the authority's determination in complete. We will comply with the penalty as soon as the date and language are determined."
