The British broadcaster committed a "major breach" of industry standards by omitting to mention that the presenter of a documentary about the Gaza situation was the offspring of a Hamas official, as ruled by regulatory body Ofcom.
An inquiry by Ofcom into the documentary titled Gaza: How to Survive a Warzone has determined that the documentary was "substantially inaccurate".
The BBC's director general had previously apologised, saying there had been "a significant failing in relation to truthfulness".
The authority has instructed the broadcaster to transmit a evening statement about its conclusions.
"Given this constitutes a major infringement of our regulations, we are ordering the corporation to air a statement of our conclusions against it on the BBC's second channel at 9pm, with a schedule to be determined," it said.
'Risk to Erode Credibility'
The authority's announcement stated: "Our investigation determined that the film's failure to disclose that the voice's male guardian served in a role in the Hamas-administered government was materially misleading.
"This implied that the audience did not have vital facts which may have been very significant to their judgment of the presenter and the content he shared.
"Credibility is at the core of the connection between a television network and its public, especially for a national broadcasting corporation such as the BBC.
"This error had the possibility to damage the very considerable degrees of trust that the public would have invested in a factual film from the broadcaster about the Gaza conflict."
The documentary was removed from iPlayer in the month of February after the presenter's familial connections were revealed, and in July an broadcaster's internal assessment found it breached the broadcaster's journalistic standards on truthfulness.
A BBC spokesperson said: "The Ofcom ruling is in agreement with the results of the corporation's inquiry, that there was a major oversight in the documentary in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to Rule 2.2 of Ofcom's Broadcasting Code.
"We expressed regret 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 confirmed."