The `Factory Girl` director was found dead in Denver on Friday (29.10.10), where he was due to premiere his new movie `Casino Jack` starring Kevin Spacey later this week.
No foul play is thought to be involved with his death, which is believed to be from natural causes.
George`s cousin, the mayor of Denver John Hickenlooper, said: "Shock and sadness do not begin to describe our emotions. We are devastated. George had immense creative talents and cinematic gifts, but he was so much more than that to us and all his family.
"His passion for life, zeal for people and unquenchable curiosity enriched everyone who had the fortune to know him. We will miss his sense of humour, his warm character and the avid encouragement he gave anyone around him. Our hearts go out to his wife, Suzanne, and his son, Charles."
The director of the Denver Film Festival Britta Erickson has announced this year`s event - which runs from November 3 to 14 - will be held in his honour.
George is survived by his wife Suzanne and son Charles.