The British broadcaster engaged in a "serious breach" of media regulations by not revealing that the voice of a documentary about the Gaza conflict was the child of a Hamas representative, as ruled by regulatory body Ofcom.
An inquiry by Ofcom into Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The head of the BBC had already issued an apology, noting there had been "a significant failing in relation to truthfulness".
Ofcom has directed the corporation to transmit a peak-time statement about its findings.
"As this represents a serious breach of our code, we are instructing the BBC to air a statement of our conclusions against it on the BBC's second channel at 9pm, with a timing to be confirmed," the statement read.
'Potential to Undermine Credibility'
The authority's statement stated: "Our probe concluded that the film's lack of disclosure that the voice's father occupied a position in the Hamas-controlled administration was significantly deceptive.
"Consequently that the audience did not have critical information which may have been extremely pertinent to their assessment of the presenter and the content he provided.
"Credibility is at the center of the connection between a broadcaster and its viewers, especially for a state-funded media outlet such as the public broadcaster.
"This oversight had the risk to undermine the significantly high degrees of trust that the public would have placed in a factual film from the broadcaster about the conflict in Gaza."
The documentary was withdrawn from iPlayer in February after the presenter's family links were revealed, and in July an internal BBC review concluded it breached the broadcaster's content policies on truthfulness.
A BBC spokesperson stated: "The Ofcom ruling is in agreement with the findings of the corporation's inquiry, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on accuracy, 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 complete. We will comply with the penalty as soon as the date and wording are confirmed."