In my opinion there are three names that should be considered as the greatest poker players of all time. Those names are Doyle Brunson, Johnny Chan and Stu Unger.

Brunson has been around the longest and has 10 WSOP bracelets under his belt. He is poker’s greatest ambassador, and still competes at the highest levels while in his seventies.

Chan also has 10 WSOP bracelets and continues to be dominant at just about any table he joins. He won the WSOP main event back to back (as did Doyle), and his bracelets were won in numerous variations of the game.
The greatest, however, in my opinion was the late Stu Unger. He was a three-time winner of the WSOP main event and the purest card player ever to live. Unfortunately he was unable to control his addiction to drugs and his career was cut short in his forties when he overdosed in a Vegas hotel.