The British broadcaster committed a "serious breach" of industry standards by omitting to mention that the voice of a film about the Gaza conflict was the son of a Hamas administrator, as determined by regulatory body Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The chief executive of the broadcaster had already issued an apology, noting there had been "a major oversight in relation to accuracy".
The authority has ordered the corporation to air a prime-time statement about its findings.
"As this represents a major infringement of our regulations, we are directing the corporation to broadcast a message of our findings against it on BBC2 at nine o'clock in the evening, with a timing to be determined," it said.
'Potential to Erode Trust'
The watchdog's report said: "Our investigation determined that the documentary's failure to disclose that the presenter's male guardian held a position in the Hamas-run administration was significantly deceptive.
"Consequently that the public did not have vital facts which may have been very significant to their assessment of the narrator and the content he provided.
"Confidence is at the core of the bond between a broadcaster and its audience, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This oversight had the risk to erode the significantly high levels of trust that audiences would have placed in a factual film from the broadcaster about the conflict in Gaza."
The documentary was pulled from the online platform in the month of February after the presenter's personal associations emerged, and in the month of July an broadcaster's internal assessment determined it infringed the broadcaster's editorial guidelines on factual correctness.
A corporation official commented: "The authority's determination is in accordance 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 factual correctness, which aligns with clause 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we comply with the authority's determination in complete. We will follow the sanction as soon as the timing and language are finalised."