Four-time MVP James acknowledged his duel with Curry was one he would look back fondly on when his career is over.
“Steph came to me after the game and said ‘how does it keep getting better?'” James said.
“It’s something that you will truly take all in when you are done playing.
“When you are able to watch with your grandkids and say that I played against one of the best ever to play this game.”
The Warriors grabbed a one-point lead thanks to a superb 28-foot, three-point jumper from Curry with 5.2 seconds left.
Klay Thompson took the game into the second period of overtime after his 25-foot three pointer with seven seconds remaining before James had the final word.