The statement did not mention Milosevic's responsibility for the 1991-1995 war in Croatia.
Noting that Milosevic's rule had long ended, the State Department said that "the United States supports a future for the Serbian people of peace, security, prosperity and greater integration with the Euro-Atlantic community."
The statement recalled that Milosevic had been on trial before the UN war crimes tribunal in The Hague for the atrocities committed in the Balkans in the 1990s, and that his trial on charges of genocide, crimes against humanity, violations of the laws and customs of war and grave breaches of the Geneva Conventions was nearing completion.
"The United States reiterates its continued support for the tribunal and its work," the statement concluded.
The US human rights organisation, Human Rights Watch (HRW), said that Milosevic had died before the Hague tribunal could impose a sentence on him for war crimes, but noted that his trial had improved international justice.
Milosevic may have escaped a sentence, but he did not avoid the process of justice, HRW official Richard Dicker said in a statement.
The victims of the Balkan wars deserved to get their satisfaction through a court ruling, which they never will. But Milosevic died indicted, deprived of his power, and with a long official list of crimes that will remain for future generations, he said.