It has also signed a deal with supply chain provider Wincanton to provide a dedicated vehicle fleet and around 80 permanent staff based at the site.
The move is designed to streamline the company, which previously operated out of separate locations in Buckinghamshire.
The new 320,000 sq ft warehouse will bring its portfolio of clients, including Del Monte, Fox's, McCormick's and Ryvita under one roof.
The facility will hold 40,000 pallets at any one time, with a throughput of 50 million cases a year. It will provide a central hub for Jenks' national distribution fleet, which will total 20 by the new year and be managed by Wincanton.
"The supply chain is absolutely critical to our business success and we needed a partner who would understand the demands of the major retailers, wholesalers and cash & carry groups," said Jenks' joint managing director Ambrose McGinn.
Chris Kingshott, Wincanton's managing director of operations said: "The new contract builds on Wincanton's strong track record within the sector and also gives us the opportunity to help create a business with unrivalled scale and expertise."