The message, which was sent through the Swiss Embassy in Tehran that handles US affairs in the country, condemned remarks by Secretary of State Mike Pompeo and other officials linking Iran with the attacks on Saudi oil facilities, reported official IRNA news agency.
"In the note which has been officially sent to the Swiss Ambassador, it has been stressed that Iran has not been involved in the attacks. Besides, the claims of the US President Donald Trump and the Secretary of State Mike Pompeo have been denied and condemned," said the report.
In the note, it has been emphasized that "in case of any anti-Iran measure, Iran will respond to it immediately and the scope (of Iran's response) will not be limited to the source of threat," according to IRNA.
Trump said on Monday that "it looked like Iran was behind (recent) attacks on oil plants in Saudi Arabia," but stressed "he did not want to go to war".
Besides, Pompeo on Saturday blamed Iran for the attacks on two Aramco oil plants in the east of Saudi Arabia. His tweets came hours after Yemen's Houthis claimed responsibility for the drone attacks.
Iran has dismissed the allegations as "pointless and unfounded".
( With inputs from IANS )