A method for operating a gaseous-fuelled internal combustion engine by directly injecting the gaseous fuel into the combustion chamber is disclosed wherein the gaseous fuel is injected at injection pressures higher than 300 bar and the pressure ratio between the gaseous fuel injection pressure and the peak cylinder pressure is between 1.6:1 and 3:1, and preferably between 2.5:1 to 2.8:1. The injection pressure is selected to be between 300 and 540 bar and preferably between 300 bar and 440 bar. The injection pressure can be selected based on a preferred range for the pressure ratio.