A cooling arrangement for a piston head of an internal combustion engine including a plurality of cooling channels built-in to the piston head. Cooling medium induction paths and draining paths are formed through the piston head for introducing and draining cooling medium into and from the cooling channels. A single cooling medium injection nozzle is disposed within the engine cylinder. The cooling medium injection nozzle is oriented to inject the cooling medium so that an axis of a jet flow of the cooling medium injected from the cooling medium injection nozzle is aligned with the axes of the cooling medium induction paths at different stroke positions of a piston during an engine revolution cycle.