The public service broadcaster was found to have committed a "serious breach" of industry standards by failing to disclose that the narrator of a programme about the Gaza conflict was the child of a Hamas administrator, as ruled by UK media regulator Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has determined that the programme was "materially misleading".
The head of the BBC had already issued an apology, saying there had been "a serious error in relation to accuracy".
The regulator has ordered the broadcaster to air a evening announcement about its conclusions.
"Since this amounts to a significant violation of our regulations, we are instructing the corporation to transmit a statement of our determinations against it on BBC Two at 21:00, with a schedule to be determined," the statement read.
'Possibility to Damage Trust'
The regulator's announcement stated: "The inquiry we conducted determined that the film's failure to disclose that the presenter's father held a role in the Hamas-controlled administration was materially misleading.
"It meant that the viewers did not have essential details which may have been extremely pertinent to their evaluation of the voice and the information he shared.
"Trust is at the core of the bond between a broadcaster and its public, particularly for a public service broadcaster such as the BBC.
"This error had the potential to erode the very considerable amounts of trust that viewers would have placed in a factual film from the broadcaster about the conflict in Gaza."
The documentary was removed from the online platform in the month of February after the presenter's family links were revealed, and in this past July an corporation's own inquiry concluded it infringed the broadcaster's content policies on accuracy.
A BBC spokesperson commented: "The Ofcom ruling is in accordance with the findings of the corporation's inquiry, that there was a serious error in the film in relation to the broadcaster's journalistic policies on factual correctness, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we accept the authority's determination in complete. We will follow the penalty as soon as the date and wording are finalised."