The British broadcaster was found to have committed a "serious breach" of media regulations by failing to disclose that the presenter of a film about Gaza was the son of a Hamas representative, as determined by UK media regulator Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has determined that the film was "significantly deceptive".
The BBC's director general had earlier expressed regret, saying there had been "a significant failing in relation to truthfulness".
The regulator has ordered the BBC to broadcast a evening announcement about its decisions.
"Given this constitutes a significant violation of our regulations, we are ordering the corporation to transmit a statement of our conclusions against it on the BBC's second channel at 21:00, with a timing to be finalised," it said.
'Possibility to Erode Credibility'
The authority's statement said: "The inquiry we conducted found that the documentary's failure to disclose that the narrator's father held a position in the Hamas-administered authority was materially misleading.
"This implied that the viewers did not have essential details which may have been very significant to their evaluation of the voice and the content he presented.
"Credibility is at the heart of the bond between a television network and its viewers, notably for a state-funded media outlet such as the BBC.
"This failing had the risk to erode the very considerable amounts of trust that audiences would have placed in a documentary produced by the BBC about the conflict in Gaza."
The film was pulled 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 concluded it breached the broadcaster's content policies on truthfulness.
A BBC spokesperson stated: "The authority's determination is in agreement with the findings of the internal assessment, that there was a significant failing in the documentary in relation to the broadcaster's journalistic policies on accuracy, which reflects Rule 2.2 of the regulator's media standards.
"We issued an apology for this and we agree with the regulator's ruling in its entirety. We will adhere to the penalty as soon as the schedule and language are finalised."