Crawford was a member of the Sheet Metal Workers International Association Local 562 in Kitchener.
"It is with deep regret that we announce the passing of Brother Chris Crawford on January 13th 2014," the union said on its website.
The incident happened late Monday morning on a new section of the mall, where a Target store is under construction and expected to open later this year.
Peel Regional Police say a portion of the steel structure that collapsed; Crawford was trapped beneath.
The Ministry of Labour has stepped in to investigate the workplace death and has issued two orders to PCL Construction, the company in charge of the work site.
"The first is that the company produce documents relating to the work that ongoing at the time of the incident," Ministry of Labour spokesperson Bruce Skeaff said Tuesday.
"The second is do not disturb the work site until January 17th, or until it has been released by the Ministry of Labour."
In an email statement, PCL Construction said that is fully cooperating with the authorities in their probe of Crawford's death.
"PCL is deeply saddened by the incident yesterday that resulted in the tragic loss of a subcontractor’s employee working on the construction site located at the Sheridan Centre in Mississauga," PCL Construction spokesperson Jennifer Nelson wrote in an email.
"We extend our deepest condolences to his family and friends for their loss," she said.
Daryl Brisco, the President of Vixman Construction, the subcontracting company that employed Crawford, said his company is dealing with the loss of its employee "with profound sadness."
"Words are simply not enough," Brisco said in an email. "but our thoughts and prayers go out to his wife, children, family members, friends, as well as our Vixman family and others that have been touched by this tragedy."