In a method an apparatus for vaporizing anesthetic liquids, in which a carrier gas is passed through a vaporizer so as to be saturated with vaporized anesthetic liquid, the vaporizer has a container, partially filled with anesthetic liquid, an inlet for a carrier gas, an outlet for carrier gas saturated with anesthetic and a pressure chamber. The carrier gas is supplied to the vaporizer at a pressure exceeding atmospheric pressure and is bubbled through the anesthetic liquid in the container in order to become saturated with anesthetic. The flow of gas at the outlet can be regulated as needed. Exact pressure and temperature conditions can be measured and/or regulated with a pressure meter, pressure regulator, thermometer and temperature regulator in order to regulate the partial pressure of anesthetic in the container.