A gaming machine runs a normal game, and runs a free game when the right to run the free game is awarded. In the free game, symbols are rearranged on a display device and a benefit is awarded based on a combination of the rearranged symbols, bonus random determination is executed based on a bonus random determination table for a number of times corresponding to the number of specific symbols rearranged, the right to run the bonus game obtained as a result of the bonus random determination is accumulatively stored in the running right stocking area of the storage device, and the bonus random determination is repeated for the awarded number of times of the free game. After the end of the free game, the bonus game is serially executed for the number of times of the bonus game accumulatively stored in the running right stocking area.