Mr Trump, the first serving or former US president to face a criminal case, denies wrongdoing.
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Trump is the first serving or former US president to face charges.
He is also being investigated in several other cases.
Trump's attorney, Susan Necheles, confirmed the indictment to CBS News, the BBC's US partner.
He is expected to surrender to authorities next week, a source told the Associated Press news agency.
Trump - who lives in Florida - will be required to appear in New York City for his formal arrest and first hearing in court.
He faces the prospect of having his fingerprints recorded and his mugshot taken, like all defendants in criminal cases.