A controller of an internal combustion engine includes processing circuitry configured to execute a peak current command value calculating process of calculating a peak current command value, which is a command value of a peak current flowing through a coil, based on a detection value of a pressure in a delivery pipe, and a peak control process of controlling a value of the peak current at the peak current command value. The in-cylinder injection valve is configured to execute multi-stage injection including a first injection and a second injection carried out at a timing toward a retarding side from the first injection. A peak current command value for the second injection is larger than the peak current command value for the first injection.