In order to improve the administration of powdered pharmaceuticals, the invention proposes a storage system for powdered pharmaceuticals, in particular for use or integration in a powder inhaler, for receiving a multiplicity of doses of at least one medically active substance, with at least two storage spaces (4) which are separate from each other and are each intended to hold a multiplicity of doses of a medically active substance, and the invention also proposes an inhaler for powdered pharmaceuticals, the inhaler comprising such a pharmaceutical powder cartridge system (1) as an integral part or as an exchangeable part.