To enable players to enjoy games by making the game itself highly tricky even though with the probability of earning the big win game states almost fixed.

The game machine is provided with a big win execution means for making the shift to the big win game states advantageous for the players, a big win game selection means which selects the first big win in which the shift to the big win game states is made immediately after the wins in the lottery or the second big win in which the shift is made after a prescribed period of the reservation thereof, a sub lottery means which carries out the lottery to determine win or loss following the passage of the game balls through a predetermined part and a sub display means that enables the display of sub identifying information images which are varied and stopped to be displayed according to the results of the lottery thereby. It is also provided with a ball entry assist execution means which makes the shift to the ball entry assisting states that facilitate the entry of balls into specified scoring slots when the wins are given as the results of the lottery. A second big win announcing means is provided to announce that the selection of the second big win is made if the results of the lottery give the wins more than prescribed times when the second wins are selected.