A gaming system and method that enables tournament table games and non-tournament table games to be played simultaneously at a same gaming table with a processor automatically determining the results of the tournament. The players at a gaming table may play a tournament game simultaneously with other tournament players, may play the tournament at different times with tournament players on gaming tables simultaneously playing tournament games as other players play non-tournament games on a same gaming table and a single player may simultaneously or sequentially play tournament and non-tournament games at a gaming table with suitable chip identification devices. During the tournament the gaming system tracks at least the tournament players' wagers wins, losses, and chip totals and/or chip values with suitable chip identification devices and automatically determines the results of the tournament based on the chip identification.