The public service broadcaster was found to have committed a "significant breach" of broadcasting rules by not revealing that the voice of a programme about the Gaza conflict was the offspring of a Hamas representative, as determined by regulatory body Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The BBC's director general had previously apologised, noting there had been "a serious error in relation to factual correctness".
Ofcom has directed the BBC to air a prime-time statement about its decisions.
"As this represents a major infringement of our rules, we are ordering the broadcaster to transmit a statement of our determinations against it on BBC Two at 21:00, with a timing to be confirmed," the statement read.
'Risk to Undermine Confidence'
The authority's announcement declared: "Our investigation found that the programme's lack of disclosure that the presenter's father occupied a position in the Hamas-controlled government was significantly deceptive.
"This implied that the audience did not have critical information which may have been very significant to their assessment of the voice and the content he provided.
"Credibility is at the heart of the bond between a broadcaster and its public, notably for a public service broadcaster such as the public broadcaster.
"This oversight had the potential to damage the exceptionally strong degrees of trust that viewers would have placed in a documentary produced by the BBC about the Israel-Gaza war."
The film was pulled from iPlayer in last February after the presenter's personal associations were revealed, and in this past July an broadcaster's internal assessment determined it infringed the corporation's editorial guidelines on factual correctness.
A BBC spokesperson commented: "The regulator's decision is in line with the findings of the internal assessment, that there was a significant failing in the documentary in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we accept Ofcom's decision in its entirety. We will adhere to the penalty as soon as the timing and language are determined."
