The firm - which manufactures kits for Manchester City, Newcastle United and Borussia Dortmund, among others - has claimed the newly-built 261,000 sq ft warehouse for its national distribution centre.
It has signed a contract for the building by the M62 on a 15-year lease at a cost of £30.7m.
Simon Venediger, finance director of the German's firm's UK branch, said: "With over 40 years' presence in Yorkshire and with a valuable and loyal workforce of 125 it was our priority to find a new distribution hub which would sustain our existing business and facilitate our exciting future growth plans - in Super G we have identified an outstanding facility which meets both needs.
"PUMA is delighted to continue its association with Equites, and thanks Barwood Capital and Tungsten in delivering a first-class product."
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Barwood Capital bought the site in July last year and developed the warehouse with Tungsten Properties.