The British broadcaster engaged in a "serious breach" of media regulations by omitting to mention that the voice of a documentary about the Gaza situation was the child of a Hamas official, according to regulatory body Ofcom.
An investigation by the media regulator into the programme Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The head of the BBC had previously apologised, saying there had been "a serious error in relation to truthfulness".
The authority has instructed the corporation to air a peak-time declaration about its findings.
"Given this constitutes a major infringement of our code, we are ordering the corporation to broadcast a message of our determinations against it on BBC Two at nine o'clock in the evening, with a timing to be finalised," it said.
'Risk to Damage Credibility'
The regulator's statement declared: "The inquiry we conducted found that the film's lack of disclosure that the narrator's parent occupied a post in the Hamas-administered administration was significantly deceptive.
"This implied that the viewers did not have vital facts which may have been highly relevant to their assessment of the narrator and the details he provided.
"Trust is at the core of the relationship between a media organization and its public, particularly for a state-funded media outlet such as the BBC.
"This failing had the possibility to erode the exceptionally strong levels of trust that the public would have invested in a documentary produced by the BBC about the conflict in Gaza."
The programme was withdrawn from the online platform in the month of February after the narrator's personal associations were revealed, and in this past July an corporation's own inquiry found it infringed the broadcaster's journalistic standards on factual correctness.
A representative for the broadcaster stated: "The authority's determination is in line with the conclusions of the corporation's inquiry, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on accuracy, which reflects Rule 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 adhere to the penalty as soon as the timing and language are confirmed."