Abstract: The invention relates to a method of removing air or gas bubbles tending to collect in the "dead space" of a piston burette or another liquid dosage piston pump during operation thereof. The venting is performed by sucking a substantial volume of air into the pump cylinder in addition to a certain amount of liquid, and the air and part of the liquid within the pump cylinder is thereafter discharged therefrom. A piston dosage pump for carrying out this method comprises a valve mechanism by means of which the pump cylinder may be selectively communicated not only with a liquid inlet conduit and a liquid outlet conduit, but also with an air inlet passage.