The public service broadcaster was found to have committed a "major breach" of industry standards by failing to disclose that the voice of a programme about the Gaza conflict was the child of a Hamas official, as determined by UK media regulator Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the documentary was "substantially inaccurate".
The BBC's director general had already issued an apology, saying there had been "a serious error in relation to truthfulness".
Ofcom has directed the BBC to air a peak-time statement about its findings.
"Given this constitutes a major infringement of our rules, we are ordering the BBC to broadcast a message of our findings against it on BBC Two at 21:00, with a timing to be confirmed," the regulator stated.
'Risk to Undermine Confidence'
The watchdog's announcement stated: "Our probe determined that the documentary's lack of disclosure that the voice's father occupied a position in the Hamas-administered authority was significantly deceptive.
"It meant that the public did not have essential details which may have been very significant to their evaluation of the narrator and the content he provided.
"Trust is at the center of the connection between a media organization and its public, notably for a public service broadcaster such as the BBC.
"This failing had the risk to erode the very considerable levels of confidence that the public would have placed in a factual film from the broadcaster about the Israel-Gaza war."
The film was pulled from the online platform in last February after the presenter's familial connections were revealed, and in this past July an broadcaster's internal assessment concluded it violated the organization's journalistic standards on factual correctness.
A representative for the broadcaster commented: "The Ofcom ruling is in line with the results of the corporation's inquiry, that there was a serious error in the film in relation to the broadcaster's journalistic policies on truthfulness, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we accept the regulator's ruling in full. We will comply with the penalty as soon as the schedule and wording are determined."
