The public service broadcaster engaged in a "major breach" of broadcasting rules by omitting to mention that the presenter of a documentary about the Gaza situation was the son of a Hamas representative, as ruled by regulatory body Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has concluded that the documentary was "materially misleading".
The head of the BBC had previously apologised, saying there had been "a serious error in relation to truthfulness".
Ofcom has ordered the BBC to air a prime-time declaration about its decisions.
"Given this constitutes a significant violation of our rules, we are instructing the corporation to air a message of our determinations against it on BBC2 at nine o'clock in the evening, with a date to be determined," the statement read.
'Potential to Erode Trust'
The watchdog's statement stated: "The inquiry we conducted concluded that the programme's lack of disclosure that the presenter's male guardian held a position in the Hamas-run authority was materially misleading.
"This implied that the audience did not have essential details which may have been very significant to their assessment of the presenter and the details he provided.
"Trust is at the core of the connection between a media organization and its audience, especially for a public service broadcaster such as the BBC.
"This oversight had the possibility to damage the very considerable amounts of confidence that the public would have placed in a factual film from the broadcaster about the Israel-Gaza war."
The programme was pulled from iPlayer in the month of February after the presenter's personal associations came to light, and in July an broadcaster's internal assessment determined it infringed the corporation's journalistic standards on factual correctness.
A BBC spokesperson stated: "The regulator's decision is in line with the findings of Peter Johnston's review, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to regulation 2.2 of the regulator's media standards.
"We have apologised for this and we agree with the authority's determination in full. We will adhere to the penalty as soon as the date and language are confirmed."