The 58-year-old musician, who was best known as the guitarist of Australian band Sherbet, passed away in a Melbourne hospital on Saturday surrounded by his wife Faye, sons Gabriel and Joshua and daughter Alexandra.
Alexandra wrote on Facebook: "Rest in peace my gorgeous, funny, amazing father.
We will miss you every day forever." She also thanked family, friends and fans for their support since Harvey began cancer treatment six months ago.
Joshua also wrote: "RIP dad, I love you, you'll always be my hero."
Harvey, who recently said that he was "humbled" by his life, was organising a reunion for the band at the Gimme That Guitar concert before his death.
