Top Gear will face no further investigation into its controversial stunt at the Cenotaph in central London.
The BBC Trust has ruled out any further probe into the scenes for the motoring show which left large tyre circles on the streets surrounding the war memorial.
Viewers had complained to the trust that the BBC had attempted to dismiss concerns with a "cut and paste apology".
Host Chris Evans, who has since stepped down from the job, apologised "unreservedly" after his co-host Matt LeBlanc and rally driver Ken Block were seen doing "doughnuts" near the memorial in London's Whitehall.
Chris said the footage was "disrespectful" and should never be broadcast.
The BBC apologised at the time and said the Cenotaph was never intended to feature in the programme.
It apologised further when two people remained dissatisfied with the corporation's "further reassurances that we will be mindful of our filming locations henceforth".
They appealed to the trust to say that the BBC's initial response had been insufficient and the apologies were not accepted.
The complainants also said the "cut and paste" responses were "insulting and amateurish" and indicated the BBC was attempting to "shrug off" the mistakes.
However, the trust said it would not take the appeal further on the basis that it had "no reasonable prospect of succeeding".
The trust said the main issues of the complaints did not relate to broadcast output, but to events during the preparation of a forthcoming series, which rested with the BBC rather than the regulator.