Obama said in his annual address on Tuesday that "American diplomacy, backed by pressure" led to the landmark November deal in which Iran agreed to cap its nuclear programme in return for some sanction relief by the West.
Today, Iran's Foreign Ministry spokeswoman Marzieh Afkham dismissed that statement as a "totally wrong interpretation."
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Afkham urged the US to implement its own commitments under the deal to ease some sanctions against Iran.
She also rejected Obama's accusation against the Iran-backed Lebanese militant Hezbollah group, calling it instead a "popular group."
Obama called Hezbollah a "terrorist organisations, which threatens our allies.