The public service broadcaster was found to have committed a "major breach" of industry standards by failing to disclose that the narrator of a programme about the Gaza situation was the offspring of a Hamas official, according to regulatory body Ofcom.
An inquiry by the media regulator into the documentary titled Gaza: How to Survive a Warzone has concluded that the programme was "substantially inaccurate".
The BBC's director general had already issued an apology, saying there had been "a significant failing in relation to truthfulness".
The authority has ordered the BBC to broadcast a peak-time declaration about its conclusions.
"Since this amounts to a significant violation of our rules, we are ordering the broadcaster to broadcast a announcement of our determinations against it on the BBC's second channel at 9pm, with a timing to be confirmed," the regulator stated.
'Potential to Erode Trust'
The authority's statement stated: "Our probe found that the programme's omission to reveal that the narrator's parent served in a position in the Hamas-administered government was substantially inaccurate.
"This implied that the public did not have essential details which may have been highly relevant to their assessment of the narrator and the content he provided.
"Trust is at the core of the relationship between a media organization and its public, particularly for a public service broadcaster such as the public broadcaster.
"This error had the possibility to erode the very considerable levels of confidence that viewers would have put in a BBC factual programme about the Gaza conflict."
The documentary was pulled from iPlayer in last February after the presenter's family links emerged, and in July an corporation's own inquiry determined it infringed the broadcaster's journalistic standards on truthfulness.
A BBC spokesperson stated: "The Ofcom ruling is in accordance with the conclusions of the corporation's inquiry, that there was a major oversight in the documentary in relation to the corporation's content standards on truthfulness, which reflects regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with the regulator's ruling in complete. We will follow the penalty as soon as the date and language are determined."