Alessandro Michele, appointed as the brand's Creative Director in 2015, is said to have led the initiative.
Bizzarri also thanked the Humane Society International and the Fur-Free Alliance for their work in helping the fashion house stop using animal fur. "I felt it immediately when I first met Alessandro", said Mr. Bizzarri.
"Gucci's decision will radically change the future of fashion", Simone Pavesi, manager of animal-free fashion at Italian campaign group LAV.
Models display creations as part of Gucci Fall-Winter 2011-2012 ready-to-wear collection on 23 February 2011 during the Women's fashion week in Milan.
Italy's Giorgio Armani past year committed to stop using fur, saying technological progress meant there was no longer any justification for cruelty to animals, while US brand Calvin Klein took the plunge in 1994.
"Gucci's commitment follows a long-standing relationship with The HSUS and LAV-members of the worldwide Fur Free Alliance, a coalition of more than 40 animal protection organizations working together to end the fur trade", The Humane Society said in a press release.
Current Gucci fur items will be auctioned off, with proceeds benefiting LAV and the HSUS.
The luxury brand has previously used rabbit, mink, fox and racoon in its designs.
Gucci is not the only brand to forgo the use of fur.
Kitty Block, president of Humane Society International, said: "For this Italian powerhouse to end the use of fur because of the cruelty involved will have a huge ripple effect throughout the world of fashion".
Gucci will be included in the Alliance of opponents of the fur - the global group that organizes campaigns for the rights of animals and promotes the development of alternatives to fur in the fashion industry.