The public service broadcaster engaged in a "major breach" of broadcasting rules by not revealing that the voice of a programme about the Gaza conflict was the child of a Hamas representative, 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 head of the BBC had earlier expressed regret, stating there had been "a significant failing in relation to factual correctness".
The regulator has ordered the corporation to broadcast a evening statement about its decisions.
"As this represents a serious breach of our regulations, we are instructing the corporation to air a message of our determinations against it on the BBC's second channel at 9pm, with a schedule to be determined," the statement read.
'Risk to Damage Confidence'
The regulator's statement said: "Our probe found that the film's lack of disclosure that the voice's male guardian served in a role in the Hamas-run government was significantly deceptive.
"It meant that the public did not have critical information which may have been very significant to their assessment of the narrator and the content he presented.
"Confidence is at the core of the bond between a television network and its viewers, notably for a state-funded media outlet such as the BBC.
"This error had the risk to undermine the exceptionally strong degrees of credibility that viewers would have put in a documentary produced by the BBC about the Israel-Gaza war."
The programme was removed from iPlayer in the month of February after the narrator's personal associations emerged, and in the month of July an internal BBC review concluded it breached the broadcaster's content policies on accuracy.
A BBC spokesperson said: "The authority's determination is in agreement with the conclusions of the corporation's inquiry, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on factual correctness, which corresponds to Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with Ofcom's decision in its entirety. We will comply with the penalty as soon as the schedule and wording are finalised."
