The Metropolitan Police has said it "did not intend to imply" a senior officer had misled the probe into the shooting of Jean Charles de Menezes.
Mr Paddick considers the matter closed, said the Metropolitan Police
Brian Paddick had said it was he who claimed a close aide of Met chief Sir Ian Blair thought police had shot an innocent man six hours later.
The Met responded that the claim was "simply not true"; Mr Paddick said that amounted to accusing him of lying.
In a statement the Met said "any misunderstanding is regretted".
It added Mr Paddick had accepted its "clarification" and considered the matter closed.
It comes after Mr Paddick, a deputy assistant commissioner, consulted libel lawyers over the Met's original statement.
Sir Ian maintains he did not know the victim was innocent until the next day.
Mr Menezes, a Brazilian electrician, was shot dead at Stockwell station after being mistaken for a suicide bomber, the day after the 21 July failed bombing attempts.