To provide a game machine such as a slot machine that can realize an interesting stocked bonus discharging mode without making the timing of offering special winning combinations stocked to a player monotonous, and a game control program.

By increasing the probability of setting again a drawing probability for determining the necessity of switching over to a stocking time in accordance with the discharge to a special winning combination, a realization of a bonus discharge mode of continuing special winning combinations stocked becomes easy, and the timing of offering to the player is varied, and the interest of discharging stocked bonuses is increased.