The public service broadcaster was found to have committed a "significant breach" of media regulations by not revealing that the presenter of a film about the Gaza conflict was the son of a Hamas administrator, as determined by regulatory body Ofcom.
An probe by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has concluded that the documentary was "substantially inaccurate".
The BBC's director general had previously apologised, noting there had been "a major oversight in relation to factual correctness".
The regulator has instructed the broadcaster to transmit a evening statement about its findings.
"Given this constitutes a serious breach of our rules, we are ordering the corporation to broadcast a message of our findings against it on BBC2 at 21:00, with a schedule to be determined," the regulator stated.
'Potential to Undermine Credibility'
The regulator's statement stated: "Our investigation determined that the documentary's omission to reveal that the presenter's father occupied a position in the Hamas-run government was materially misleading.
"This implied that the public did not have vital facts which may have been very significant to their judgment of the presenter and the details he provided.
"Credibility is at the center of the connection between a television network and its public, notably for a state-funded media outlet such as the BBC.
"This error had the risk to erode the very considerable degrees of trust that the public would have placed in a documentary produced by the BBC about the Gaza conflict."
The programme was removed from the online platform in February after the narrator's family links were revealed, and in July an broadcaster's internal assessment determined it violated the broadcaster's editorial guidelines on factual correctness.
A BBC spokesperson said: "The regulator's decision is in agreement with the conclusions of Peter Johnston's review, that there was a significant failing in the documentary in relation to the corporation's content standards on factual correctness, which reflects clause 2.2 of the regulator's media standards.
"We issued an apology for this and we accept Ofcom's decision in complete. We will comply with the penalty as soon as the date and language are confirmed."