The public service broadcaster was found to have committed a "serious breach" of broadcasting rules by omitting to mention that the narrator of a documentary about the Gaza conflict was the son of a Hamas administrator, as ruled by UK media regulator Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has concluded that the documentary was "significantly deceptive".
The chief executive of the broadcaster had earlier expressed regret, noting there had been "a major oversight in relation to factual correctness".
The authority has instructed the corporation to air a peak-time announcement about its findings.
"Given this constitutes a serious breach of our code, we are ordering the broadcaster to broadcast a message of our findings against it on BBC2 at 21:00, with a schedule to be determined," the regulator stated.
'Potential to Undermine Confidence'
The authority's report stated: "Our investigation concluded that the film's failure to disclose that the voice's male guardian held a role in the Hamas-run government was significantly deceptive.
"It meant that the public did not have essential details which may have been extremely pertinent to their assessment of the presenter and the details he presented.
"Confidence is at the core of the relationship between a media organization and its viewers, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This failing had the potential to damage the significantly high amounts of trust that the public would have invested in a factual film from the broadcaster about the Gaza conflict."
The programme was pulled from the BBC's streaming service in February after the boy's personal associations emerged, and in this past July an internal BBC review concluded it infringed the corporation's content policies on truthfulness.
A BBC spokesperson said: "The authority's determination is in accordance with the conclusions of the internal assessment, that there was a significant failing in the programme 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 Ofcom's decision in its entirety. We will adhere to the directive as soon as the date and wording are determined."