The public service broadcaster committed a "serious breach" of industry standards by omitting to mention that the presenter of a film about the Gaza situation was the son of a Hamas official, as determined by UK media regulator Ofcom.
An probe by Ofcom into the documentary titled Gaza: How to Survive a Warzone has determined that the documentary was "significantly deceptive".
The BBC's director general had already issued an apology, saying there had been "a significant failing in relation to accuracy".
The regulator has directed the BBC to air a prime-time declaration about its findings.
"Since this amounts to a significant violation of our code, we are ordering the broadcaster to transmit a announcement of our conclusions against it on BBC2 at 21:00, with a schedule to be finalised," the regulator stated.
'Risk to Erode Confidence'
The regulator's statement stated: "Our probe concluded that the documentary's lack of disclosure that the narrator's male guardian served in a role in the Hamas-administered government was significantly deceptive.
"It meant that the audience did not have vital facts which may have been highly relevant to their evaluation of the presenter and the content he shared.
"Trust is at the core of the bond between a broadcaster and its viewers, notably for a national broadcasting corporation such as the BBC.
"This error had the possibility to erode the very considerable amounts of trust that the public would have put in a documentary produced by the BBC about the conflict in Gaza."
The programme was pulled from the online platform in February after the boy's personal associations were revealed, and in the month of July an corporation's own inquiry found it infringed the corporation's content policies on truthfulness.
A representative for the broadcaster said: "The Ofcom ruling is in agreement with the results of the corporation's inquiry, that there was a significant failing in the film in relation to the corporation's content standards on truthfulness, which corresponds to regulation 2.2 of the regulator's media standards.
"We issued an apology for this and we agree with the authority's determination in its entirety. We will comply with the penalty as soon as the timing and wording are confirmed."
