The public service broadcaster was found to have committed a "significant breach" of industry standards by omitting to mention that the voice of a documentary about the Gaza conflict was the offspring of a Hamas administrator, as ruled by British broadcasting authority Ofcom.
An investigation by the broadcasting watchdog into Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The BBC's director general had earlier expressed regret, stating there had been "a major oversight in relation to accuracy".
The regulator has directed the corporation to broadcast a prime-time statement about its decisions.
"Since this amounts to a significant violation of our rules, we are instructing the BBC to transmit a message of our conclusions against it on BBC Two at 9pm, with a date to be confirmed," it said.
'Potential to Damage Trust'
The authority's statement stated: "The inquiry we conducted concluded that the programme's omission to reveal that the presenter's parent served in a role in the Hamas-run authority was materially misleading.
"This implied that the viewers did not have vital facts which may have been very significant to their judgment of the narrator and the content he presented.
"Credibility is at the center of the relationship between a television network and its public, especially for a public service broadcaster such as the British Broadcasting Corporation.
"This oversight had the potential to erode the very considerable amounts of credibility that viewers would have placed in a documentary produced by the BBC about the Gaza conflict."
The programme was pulled from the online platform in the month of February after the presenter's familial connections were revealed, and in July an corporation's own inquiry determined it breached the organization's content policies on factual correctness.
A corporation official said: "The authority's determination is in accordance with the conclusions of the internal assessment, that there was a significant failing in the film in relation to the corporation's content standards on accuracy, which corresponds to regulation 2.2 of the regulator's media standards.
"We issued an apology for this and we accept the regulator's ruling in full. We will follow the directive as soon as the timing and wording are determined."
