Iran and the United States cut diplomatic ties shortly after Iran's 1979 Islamic revolution and enmity to Washington has long been a rallying point for hardline supporters of Khamenei in Iran.
Khamenei has made several statements denouncing the United States since the start of the Muslim holy month of Ramadan, while US President Donald Trump has spoken out against Iran in harsh terms since taking office, indicating he will reverse the previous administration's attempts at rapprochement with Tehran.
The Iranian leader has accused the United States and its regional ally Saudi Arabia of funding hardline groups, including ISIL, which carried out its first attack in Iran on Wednesday in Tehran, killing 17 people.
Riyadh has denied involvement in the suicide bombings and gun attacks on Iran's parliament and the mausoleum of the Islamic Republic's founder, Ayatollah Ruhollah Khomeini.
Iranian President Hassan Rouhani, who favors opening up to the world, has condemned the attacks, without pointing a finger at any country.
The pragmatist president championed a nuclear deal with the United States and five other powers in 2015 that led to the lifting of most sanctions against Iran, in return for curbs on its nuclear program.
But the deal has not led to normalization of ties between the two countries that Rouhani hoped for. Trump has frequently called the agreement "one of the worst deals ever signed" and said Washington would review it.
Khamenei said Iran had no intention of normalizing ties with the United States.
"The American government is against an independent Iran... They have problems with the existence of Islamic Republic of Iran… Most of our problems with them cannot be resolved," the semi-official Fars news agency quoted him as saying.
Khamenei's hardline loyalists, drawn from among Islamists and the Revolutionary Guards, fear normalization of ties with the United States might weaken their position.
"America is a terrorist country and backs terrorism ... therefore, we cannot normalize ties with such country," he said.