A control device (7) of a cylinder direct injection type internal combustion engine (1) controls a fuel injection device (4) and an ignition device (5), executes injection of the fuel and ignition over multiple times, and executes a control of varying an interval between a timing of the injection of the fuel and a timing of the ignition, at the time of an ignition start in which the fuel is injected into a combustion chamber (3) in an expansion stroke with rotation of an output shaft (6) is stopped state and the fuel is ignited to start the rotation of the output shaft (6). The control device (7) varies the interval between the timing of the injection of the fuel and the timing of the ignition by adjusting a correlation of a pitch of the injection of the fuel over multiple times and a pitch of the ignition over multiple times. Therefore, the internal combustion engine (1) and the control device (7) have an effect of being able to enhance the starting property.