Declan Sullivan, a 20-year-old junior from Long Grove, Ill., was transported from the LaBar practice complex to a South Bend hospital, where he died.
"Our thoughts and prayers go out to Declan's family and friends," coach Brian Kelly said in a release. "Declan was a diligent student worker in our video department and had a tremendous personality and great sense of humor. He brightened the days for all that had the privilege to work with him, and the Notre Dame football family will dearly miss him."
Authorities were investigating the incident. The hydraulic scissor lift, which can be lowered or raised depending on needs, stretched across a nearby street.
Winds in the area were gusting to 51 mph at the time, according to the National Weather Service, and the team practiced indoors Tuesday because of the blustery conditions.
Notre Dame was making grief counselors available for students, and university president Rev. John Jenkins will preside over a special Mass in Sullivan's memory on Thursday.
"We are deeply saddened by this tragic loss," Jenkins said. "Our hearts go out to the student's family and friends and our prayers and profound sympathies are with them during this incredibly difficult time. The loss of someone so young is a terrible shock and a great sadness. Our entire community shares in the family's grief."