The shooting guard and small forward agreed a five-year extension with the team, for which he has played since 2010.
The 23-year-old told the team's website: "I'm going to do everything in my will to continue to improve and continue to be the face of this team. I really want to put everything that I have into this team.
"I'm not going to hold anything back on the court, or off the court. I'm really going to give all my time and all my dedication to this organisation, as much as they gave to me.
"I feel like I'm nowhere close to being the player I want to be. Every year I take a jump closer to where I want to be. Being 23, it's the start of where I want to be as a player and a person."
George was a first-round Draft pick in 2010.