The British broadcaster engaged in a "serious breach" of media regulations by omitting to mention that the presenter of a film about the Gaza situation was the son of a Hamas representative, as determined by regulatory body Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The BBC's director general had earlier expressed regret, saying there had been "a major oversight in relation to factual correctness".
The authority has instructed the corporation to air a evening announcement about its findings.
"Given this constitutes a significant violation of our code, we are directing the corporation to broadcast a message of our conclusions against it on BBC Two at 9pm, with a date to be finalised," it said.
'Risk to Undermine Credibility'
The authority's statement declared: "Our probe concluded that the film's failure to disclose that the presenter's parent held a role in the Hamas-administered government was materially misleading.
"This implied that the public did not have vital facts which may have been very significant to their evaluation of the narrator and the content he presented.
"Confidence is at the core of the connection between a media organization and its public, notably for a national broadcasting corporation such as the BBC.
"This error had the potential to undermine the very considerable amounts of confidence that audiences would have placed in a documentary produced by the BBC about the Gaza conflict."
The documentary was withdrawn from the online platform in last February after the presenter's personal associations came to light, and in July an corporation's own inquiry determined it infringed the broadcaster's journalistic standards on truthfulness.
A BBC spokesperson stated: "The authority's determination is in agreement with the conclusions of Peter Johnston's review, that there was a serious error in the programme in relation to the corporation's content standards on truthfulness, which aligns with Rule 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we accept the regulator's ruling in its entirety. We will comply with the directive as soon as the schedule and wording are finalised."