The charges are said to have been filed by federal prosecutors in the Eastern District of Virginia, whose jurisdiction includes the main base of Mr Snowden's former employer, Booz Allen Hamilton.
The Post report said the US Justice Department had declined to comment on the claims.
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A man suspected of planning a terrorist attack has been arrested in Rotterdam after police found a loaded AK-47 in his apartment.
Another mild day with highs reaching up to 13C degrees in mild southerly winds
The first officer shouted "look!" as the drone passed next to the right wing at around 11,000ft above south-east London.