"It seems a new climate has been created with the rise to power of a new Iranian government, and all international parties are trying to react to this new climate,"said Deputy Foreign Minister Morteza Sarmadi.
"For example, Barack Obama has tried to use a more moderate and respectful tone," he said, quoted by ISNA news agency.
"But no doubt what's important in foreign policy are actions," he said. If the world's major powers "respect Iran's nuclear rights under the nuclear Non-Proliferation Treaty, I think reaching a solution is imaginable."
In remarks before the General Assembly in New York on yesterday, the US president pushed for a "diplomatic path" with the new Iranian government.
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"I don't believe this difficult history can be overcome overnight -- the suspicion runs too deep," Obama said.
"But I do believe that if we can resolve the issue of Iran's nuclear programme, that can serve as a major step down a long road towards a different relationship -- one based on mutual interests and mutual respect."
The Unites States, other Western powers and Israel suspect that Tehran is using its nuclear programme as a cover to develop an atomic bomb, something Iran has always denied.
The reformist Shargh newspaper hailed the US leader's speech for opening up "a new path" for the relationship between the two arch-foes, which have had no diplomatic ties since 1980.
"Even those most pessimistic to an opening in relations have accepted that the time for change has arrived," its editorial said.
It added that the international situation has "significantly changed in Iran's favour," and argued that Israeli Prime Minister Benjamin Netanyahu would be "isolated" as a "warmonger."
Etemad, another reformist daily, quoting ex-deputy foreign minister Mehdi Mohtashami, said Obama acknowledging "past mistakes" was a sign that the two sides "have the will to fight against mistrust."
Several newspapers, including the government-run Iran daily, revelled in Obama's declaration in recognising a religious decree by supreme leader Ayatollah Ali Khamenei on a ban against weapons of mass destruction, including nuclear arms.