The British broadcaster was found to have committed a "major breach" of industry standards by failing to disclose that the narrator of a programme about the Gaza conflict was the offspring of a Hamas official, as determined by regulatory body Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has concluded that the film was "significantly deceptive".
The BBC's director general had earlier expressed regret, stating there had been "a serious error in relation to truthfulness".
Ofcom has directed the BBC to air a evening declaration about its conclusions.
"Given this constitutes a serious breach of our rules, we are instructing the broadcaster to broadcast a message of our determinations against it on BBC2 at 21:00, with a schedule to be confirmed," the statement read.
'Possibility to Damage Confidence'
The regulator's report stated: "Our probe concluded that the film's lack of disclosure that the presenter's male guardian held a role in the Hamas-administered administration was significantly deceptive.
"This implied that the audience did not have critical information which may have been very significant to their evaluation of the narrator and the information he presented.
"Confidence is at the center of the relationship between a television network and its audience, notably for a state-funded media outlet such as the public broadcaster.
"This failing had the potential to damage the significantly high levels of credibility that the public would have placed in a BBC factual programme about the Gaza conflict."
The programme was pulled from the online platform in the month of February after the presenter's personal associations were revealed, and in this past July an internal BBC review concluded it breached the corporation's journalistic standards on truthfulness.
A representative for the broadcaster commented: "The regulator's decision is in agreement with the results of the corporation's inquiry, that there was a serious error in the film in relation to the broadcaster's journalistic policies on accuracy, which aligns with regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we comply with the regulator's ruling in full. We will adhere to the penalty as soon as the schedule and language are determined."