The West London-based business was recognised for the work it carries out printing the Sydney Morning Herald and New York Times.
The titles, which are among the 45 printed by Stroma, are produced on the company's Océ JetStream 1000 that was installed last February.
Accepting the award at London’s Hilton Hotel in Park Lane with fellow director Rob Brown, Steve Brown said the accolade was "rich reward" in what he described as a fantastic journey for the business.
Stroma's output fended off competition from companies that had submitted digitally-printed versions of De Telegraaf, The Sunday Times, The Times, Moscow News, USA Today and Pro Football Weekly.
Craig Nethercott, director of production printing at Océ UK, said: "Increasing numbers of the world’s most influential newspapers are turning to companies such as Stroma to print their newspapers digitally, which includes international or personalised editions.
"Ensuring immediate delivery in international markets of newspapers printed digitally in colour with a print quality comparable to traditional printing provides a steady revenue stream and potential growth opportunity for newspaper publishers."
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Stroma crowned Digital Newspaper Printer of the Year
Stroma has been named Digital Newspaper Printer of the Year in the Newspaper Awards 2012.