An inhaler for powdery substances, in particular medical substances, has a substance storage chamber and a dosing chamber, which receives a defined amount of the substance, is formed as a cross-hole of a rod and can be displaced from a filling position into an emptying position, in which emptying position the dosing chamber is located in an air flow channel. The rod has a number of dosing chambers located one after the other on the rod, which preferably move into the emptying position one after the other during a discharge actuation and can be blown out one by one as intermingling small portions (instead of one large one) by positive air pressure in the air flow channel.