The British broadcaster was found to have committed a "major breach" of media regulations by failing to disclose that the voice of a programme about the Gaza situation was the son of a Hamas administrator, as ruled by UK media regulator Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has found that the programme was "substantially inaccurate".
The BBC's director general had previously apologised, saying there had been "a serious error in relation to truthfulness".
The regulator has ordered the corporation to transmit a evening declaration about its findings.
"Given this constitutes a significant violation of our code, we are directing the broadcaster to air a announcement of our determinations against it on BBC2 at 9pm, with a timing to be determined," the statement read.
'Possibility to Undermine Credibility'
The authority's report declared: "Our investigation concluded that the documentary's failure to disclose that the voice's father held a post in the Hamas-controlled authority was substantially inaccurate.
"It meant that the viewers did not have critical information which may have been extremely pertinent to their assessment of the voice and the content he provided.
"Confidence is at the center of the bond between a broadcaster and its audience, notably for a national broadcasting corporation such as the public broadcaster.
"This oversight had the possibility to damage the significantly high degrees of trust that viewers would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The programme was removed from the online platform in last February after the presenter's family links emerged, and in the month of July an internal BBC review concluded it infringed the organization's editorial guidelines on accuracy.
A representative for the broadcaster said: "The authority's determination is in line with the findings of the corporation's inquiry, that there was a serious error in the film in relation to the BBC's Editorial Guidelines on truthfulness, which reflects regulation 2.2 of the authority's broadcasting regulations.
"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 determined."
