The public service broadcaster engaged in a "serious breach" of industry standards by omitting to mention that the presenter of a documentary about the Gaza situation was the child of a Hamas official, as ruled by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
The BBC's director general had earlier expressed regret, stating there had been "a major oversight in relation to truthfulness".
The regulator has instructed the BBC to broadcast a peak-time announcement about its decisions.
"Given this constitutes a serious breach of our code, we are instructing the corporation to air a message of our conclusions against it on the BBC's second channel at 9pm, with a timing to be confirmed," the statement read.
'Possibility to Undermine Credibility'
The regulator's report stated: "Our probe found that the programme's lack of disclosure that the narrator's parent occupied a post in the Hamas-controlled authority was materially misleading.
"It meant that the audience did not have vital facts which may have been very significant to their assessment of the narrator and the content he shared.
"Trust is at the heart of the connection between a television network and its audience, notably for a national broadcasting corporation such as the British Broadcasting Corporation.
"This failing had the potential to erode the significantly high amounts of credibility that audiences would have placed in a factual film from the broadcaster about the conflict in Gaza."
The programme was pulled from the online platform in February after the presenter's personal associations were revealed, and in July an corporation's own inquiry found it infringed the corporation's content policies on factual correctness.
A BBC spokesperson commented: "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 broadcaster's journalistic policies on truthfulness, which reflects clause 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we accept the authority's determination in full. We will follow the directive as soon as the timing and wording are finalised."