Thierry Godfrind, 39, died Friday while responding to a call in the St-Laurent borough.
Montreal's fire chief said it appears Godfrind may have stepped off the fire truck before it hit him.
He was taken to the hospital in critical condition, but died a short time later.
At the time, firefighters were responding to a call at a residential building.
Two investigations are underway to examine the circumstances surrounding Godfrind's death.
The funeral service will take place at Notre-Dame Basilica Friday, but the time has not been announced.
The city has set up a book of condolences at City Hall which will be available for citizens to write messages throughout the week.
Godfrind is the first firefighter to die on the job in Montreal since 2006.