In a method of operating an internal combustion engine with a switch-over capability between a compression ignition mode of operation and a spark ignition mode of operation in higher load ranges which includes a cam-operated valve drive with a valve control providing, in the compression ignition mode of operation, for an increased valve overlap of the valve opening times, smooth engine operation and optimal exhaust gas emissions are obtained also during rapid load changes upon changing the engine operating mode as the change-over is accompanied by changes of the injection parameters, the throttling parameter and the valve control, which are coordinated with respect to one another as the valve control is switched over by changing the amplitude and phase position of the valve stroke of at least one of the inlet and outlet valves.