The British broadcaster committed a "significant breach" of industry standards by not revealing that the voice of a film about Gaza was the son of a Hamas representative, according to British broadcasting authority Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has determined that the documentary was "substantially inaccurate".
The head of the BBC had earlier expressed regret, noting there had been "a major oversight in relation to factual correctness".
Ofcom has ordered the broadcaster to air a prime-time declaration about its findings.
"Given this constitutes a major infringement of our regulations, we are ordering the corporation to broadcast a announcement of our determinations against it on BBC Two at nine o'clock in the evening, with a timing to be finalised," it said.
'Possibility to Damage Trust'
The authority's statement stated: "Our investigation concluded that the programme's lack of disclosure that the narrator's father served in a post in the Hamas-administered administration was materially misleading.
"Consequently that the viewers did not have essential details which may have been extremely pertinent to their assessment of the narrator and the content he shared.
"Confidence is at the core of the connection between a media organization and its viewers, notably for a national broadcasting corporation such as the British Broadcasting Corporation.
"This oversight had the possibility to erode the very considerable amounts of trust that viewers would have placed in a BBC factual programme about the Gaza conflict."
The programme was pulled from the online platform in February after the presenter's family links emerged, and in the month of July an broadcaster's internal assessment concluded it infringed the broadcaster's editorial guidelines on truthfulness.
A representative for the broadcaster commented: "The regulator's decision is in line with the results of the internal assessment, that there was a major oversight in the programme in relation to the BBC's Editorial Guidelines on truthfulness, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept the authority's determination in its entirety. We will comply with the penalty as soon as the schedule and language are finalised."