A control device of a cylinder direct injection type internal combustion engine controls a fuel injection device and an ignition device, 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 in an expansion stroke with rotation of an output shaft is stopped state and the fuel is ignited to start the rotation of the output shaft. The control device 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.