The public service broadcaster was found to have committed a "significant breach" of broadcasting rules by not revealing that the voice of a film about the Gaza situation was the child of a Hamas representative, according to regulatory body Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The head of the BBC had earlier expressed regret, saying there had been "a major oversight in relation to factual correctness".
Ofcom has ordered the corporation to transmit a evening statement about its findings.
"As this represents a major infringement of our regulations, we are directing the broadcaster to broadcast a statement of our conclusions against it on the BBC's second channel at 21:00, with a date to be confirmed," it said.
'Risk to Undermine Trust'
The watchdog's report stated: "The inquiry we conducted determined that the film's lack of disclosure that the narrator's father served in a position in the Hamas-administered administration was significantly deceptive.
"It meant that the viewers did not have critical information which may have been highly relevant to their assessment of the narrator and the information he provided.
"Confidence is at the core of the relationship between a television network and its public, particularly for a state-funded media outlet such as the BBC.
"This error had the possibility to damage the very considerable degrees of trust that the public would have put in a factual film from the broadcaster about the conflict in Gaza."
The film was withdrawn from the online platform in the month of February after the narrator's familial connections came to light, and in the month of July an internal BBC review found it breached the broadcaster's journalistic standards on accuracy.
A representative for the broadcaster commented: "The authority's determination is in agreement with the findings of Peter Johnston's review, that there was a major oversight in the documentary in relation to the corporation's content standards on truthfulness, which corresponds to Rule 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we agree with Ofcom's decision in its entirety. We will comply with the directive as soon as the schedule and wording are finalised."
