The British broadcaster was found to have committed a "significant breach" of broadcasting rules by failing to disclose that the presenter of a film about the Gaza conflict was the child of a Hamas administrator, as ruled by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the documentary was "materially misleading".
The BBC's director general had earlier expressed regret, stating there had been "a major oversight in relation to factual correctness".
The regulator has instructed the BBC to broadcast a evening announcement about its conclusions.
"Since this amounts to a major infringement of our rules, we are directing the broadcaster to broadcast a statement of our findings against it on BBC2 at nine o'clock in the evening, with a schedule to be confirmed," the statement read.
'Possibility to Erode Confidence'
The authority's report declared: "Our probe found that the programme's omission to reveal that the presenter's male guardian served in a role in the Hamas-controlled administration was significantly deceptive.
"It meant that the audience did not have essential details which may have been very significant to their evaluation of the presenter and the content he provided.
"Trust is at the heart of the relationship between a media organization and its public, especially for a national broadcasting corporation such as the public broadcaster.
"This error had the risk to damage the exceptionally strong degrees of confidence that the public would have put in a BBC factual programme about the Gaza conflict."
The documentary was withdrawn from the BBC's streaming service in February after the presenter's personal associations came to light, and in this past July an internal BBC review found it breached the broadcaster's content policies on factual correctness.
A BBC spokesperson said: "The authority's determination is in line with the findings of Peter Johnston's review, that there was a serious error in the programme in relation to the BBC's Editorial Guidelines on accuracy, which reflects Rule 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 comply with the penalty as soon as the date and language are finalised."
