The editorial team picks the albums, which can be listened to at the Gramophone Listening Room for a limited period.
site is hosted and co-branded by a company called TellJack, which recently launched a similar service for Classic Rock magazine.
The site features links to online retailers selling particular albums such as Amazon and the London Symphony Orchestra.
James Jolly, editor-in-chief of Gramophone, said: "The Gramophone Listening Room confirms the magazine's commitment to harnessing new technologies.
"We believe it will become an important part of music-lovers' listening and purchasing habits, and offer the record industry an exciting new way of reaching out to potential purchasers."