The title replaces Show, the former in-store magazine, also published by JBCP.
Selfridges Tribune comes in a demi-broadsheet format and is similar in style to the International Herald Tribune. Like Show, it is published twice a year to reflect the seasonal themes Selfridges adopts in-store.
But, whereas Show was redesigned each season, the Tribune will maintain its newspaper look.
The cover is printed on transparent paper and carries headlines and news items like a newspaper. The inside pages contain a glossy fashion shoot by the New York photographer Cedric Buchet.
Some of the images will also appear in store window displays and content will be tailored to stores in London, Birmingham and Manchester.
The publication, which will be available free in stores, has been designed by Fifty-One.
The first issue of the magazine, which breaks this week, is also being carried in GQ's October issue and the Saturday Times on 11 September.