The Range and Wilko are owned by CDS Stores which has announced it will close all branches at both brands on December 25 and 26.
Alex Simpkin, chief executive officer for CDS, said: "This year’s been another great one for the business.
"We’re grateful to all our incredible team for their dedication and hard work and believe everyone deserves a well-earned rest during the festive season.
"So, in appreciation, we’ll be closing our stores on Boxing Day to give our team the opportunity to enjoy a full two-day break with their families."
The discounter has said it will close on Boxing Day, as well as Christmas Day.
Richard Thornton, communications director at Aldi UK, said: "Christmas is such a special period for many of our colleagues, and by keeping our stores closed on Boxing Day, Aldi gives them more time to spend with their loved ones.
"Customers will have plenty to look forward to in the run-up to Christmas, with exciting Christmas ranges hitting shelves in time for the festive season."
It's not the first time Aldi has closed on Boxing Day - the discounter has been doing so for the past few years.
