The former Filene's store was Daniel Burnham's only Boston project.

BOSTON—The site of the former Filene’s Department Store here is the setting for one of the most notable retail leases in recent Boston history. European fashion retailer Primark is taking a total of 112,000 square feet at the eight-story Burnham Building, adjacent to Millennium Partners’ Millennium Tower now under construction.

Primark has signed to a long-term lease on four floors in the century-old Burnham Building, of which 70,000 square feet will be selling space. The deal follows recent leases to Havas Media/Arnold Worldwide and Roche Bros. market at the property.

Millennium Partners began renovating the Burnham Building, Boston’s only structure designed by iconic Chicago architect Daniel Burnham, last year. The renovation is part of Millennium Partners’ $689-million redevelopment plan for the vacant site of the former Filene’s store, which also includes the 625-foot Millennium Tower scheduled for occupancy in the summer of 2016.

“Primark’s commitment, along with the prior lease to Roche Bros. market for 37,000 square feet, signifies that the retail leasing effort at Millennium Tower/Burnham Building has created a retail revolution in the city of Boston,” says Cushman & Wakefield vice chairman Gene Spiegelman. He adds that both transactions represent “new entrants to the city of Boston and its historic Downtown.”

C&W was the sole brokerage firm in the transaction, representing Millennium Partners. The leasing team was led by Spiegelman, Kazuko Morgan and Emily Ou; the deal brings the Burnham Building to 97% occupancy.