Washington severed ties with Iran in 1980 - in the wake of its Islamic revolution - and George Bush, the current US president, famously denounced the country as part of an "axis of evil".
Tensions have mounted recently over Iran's nuclear power programme. Many Western countries allege the programme is a cover to develop atomic weapons - a charge Tehran strongly denies.
Larijani also said the United States is now too busy dealing with a financial crisis to consider attacking Iran over the nuclear programme.
"The risk was low before," he said. "But now I am 100 per cent certain that the United States will not unleash a war against Iran.
"The economic crisis has cost the United States $1,400bn and Washington is working to resolve its internal problems and not a war."