The system (10) has a waste water tank (12) into which sewage or organic waste i.e. kitchen waste, is sucked by low pressure, where the sewage/organic waste is discharged from the tank by high pressure. Devices (26) e.g. displacement pump such as diaphragm-, piston-, liquid ring- or rotary vane vacuum pump, and compressor, generate the required low pressure and high pressure on respective suction and pressing sides for sucking and discharging the sewage/organic waste. The devices are connected in series or parallel, and a macerator is attached to the system.