The retailer has engaged many of the country's biggest publishers as partners to ensure the site has a huge range of well-known magazine brands on its roster such as Grazia, FHM and Total Film.
The uses a free-to-install delivery software and allows users to download the latest issues of magazines at any time as well as viewing, storing and searching digital magazines bought from the site.
A key feature of the system is the ability to save magazines to a USB key, which allows customers to read them on any computer, even one without delivery software installed.
John Menzies said that this will prove a major benefit to customers who use more than one computer or are regular travellers.
Menzies plans to work with established ecommerce partners to bring the service to a mainstream UK audience and has already launched a partnership with WHSmith.
WH Smith will be promoting the service to customers online and throughout its retail stores.
Customers can subscribe to magazines on the site and receive a discount against the single issue price but without being tied into a minimum subscription period.
The site also offers a "pick and mix" subscription that provides four credits for £8.99 a month, which can be redeemed against any four magazines on the site.
Simon Clough, managing director at John Menzies Digital, said: "The concept of buying digital magazines is in itself very new, but bringing such a huge range of top titles together in one place for UK consumers is unprecedented."