NSA internal memos obtained by Le Monde detailed the use of a sophisticated surveillance programme, known as Genie.
US spies allegedly hacked foreign networks, introducing the spyware into the software, routers and firewalls of millions of machines.
It comes a day after claims the NSA tapped millions of phones in France.
The details in the latest Le Monde article are based on leaks from ex-intelligence analyst Edward Snowden, through Glen Greenwald, the outgoing Guardian journalist, who is feeding the material from Brazil, says the BBC's Christian Fraser in Paris.
It comes on the day the US Secretary of State, John Kerry, is in London meeting foreign counterparts to discuss Syria.
"They're OUR planes, now" ~Liberal moron Ron Silver during 1993 flyover
You're a brave man. Go and break through the lines. And remember, while you're out there risking your life and limb through shot and shell, we'll be in be in here thinking what a sucker you are. ~Rufus T. Firefly