Glazer, a reclusive American billionaire who spearheaded the controversial purchase of one of England's most-storied soccer teams, had suffered a series of strokes in recent years and his sons have managed the operations of both teams.
Glazer purchased the Buccaneers in 1995 and led what traditionally had been one of the weakest teams in the National Football League to its first Super Bowl championship eight years later.
"A dynamic business leader, Glazer helped mold the Buccaneers into a model franchise and one respected league-wide," the Buccaneers said in a statement on their website.
In 2005, Glazer launched an aggressive debt-driven $1.47-billion takeover of Manchester United that was widely opposed by many of the club's passionate fans.
"The thoughts of everyone at Manchester United are with the family tonight," the team said in a separate statement.
Glazer had no formal connection to club and the ownership of Manchester United is now in hands of Glazer's children, led by the club's co-chairs Avram and Joel Glazer.
A resident of Palm Beach, Florida, Glazer is survived by his wife, Linda, six children and 14 grandchildren.