The British broadcaster was found to have committed a "major breach" of broadcasting rules by omitting to mention that the presenter of a programme about the Gaza situation was the son of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An probe by Ofcom into Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The BBC's director general had earlier expressed regret, stating there had been "a major oversight in relation to factual correctness".
Ofcom has instructed the BBC to broadcast a prime-time declaration about its conclusions.
"As this represents a major infringement of our regulations, we are instructing the BBC to broadcast a message of our determinations against it on BBC2 at 21:00, with a date to be determined," the regulator stated.
'Risk to Damage Confidence'
The authority's statement stated: "The inquiry we conducted found that the programme's failure to disclose that the narrator's father held a role in the Hamas-run authority was significantly deceptive.
"It meant that the audience did not have essential details which may have been extremely pertinent to their evaluation of the presenter and the information he provided.
"Credibility is at the core of the connection between a television network and its public, notably for a state-funded media outlet such as the public broadcaster.
"This failing had the risk to erode the significantly high amounts of trust that audiences would have placed in a factual film from the broadcaster about the Gaza conflict."
The documentary was pulled from iPlayer in February after the presenter's familial connections were revealed, and in this past July an broadcaster's internal assessment found it violated the corporation's journalistic standards on accuracy.
A BBC spokesperson stated: "The authority's determination is in line with the findings of the internal assessment, that there was a serious error in the film in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we comply with the authority's determination in full. We will adhere to the penalty as soon as the date and wording are finalised."