Scott Johnson, 33, of Doncaster, England, was killed Saturday in the accident prior to the band's concert at Downsview Park. Three other stage workers were injured.
"We have all been shattered by the loss of Scott Johnson, our friend and colleague," the band said in a statement posted on its Web site. "He was a lovely man, always positive, supportive and funny; a highly skilled and valued member of our great road crew. We will miss him very much. Our thoughts and love are with Scott's family and all those close to him."
Police said Johnson was dead at the scene after a "heavy, crushing injury," the Toronto Star reported.
Labor Ministry investigators were at the accident site Sunday trying to determine what caused the state to collapse, the newspaper said.
The accident forced the cancellation of the concert, which was the final date of an 11-show North American tour that started in late May. About 40,000 people had been expected to attend the concert.