The Independent Magazine accompanies the Saturday edition of the newspaper, while The New Review is sold as part of the Sunday newspaper.
The first issues of both titles were published on 4 and 5 May respectively and were printed by Polestar's Petty site in Leeds.
Independent Print operations director Andrew Brown said: "We have always enjoyed an excellent relationship with Polestar and are happy to be extending that relationship further with the printing of two of our weekend magazines."
Polestar sales director David Gray said: "Time-sensitive newspaper supplements are core to our business and fit perfectly on the large presses at Polestar Petty."
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