Inhaler (1) for powdered substances, particularly medical substances, with a suction air channel (12) leading to a mouthpiece (3), also a storage chamber (11) for the substance (10) and a linearly moved dosing chamber (26) for apportioning a specific amount (10') of substance from the storage chamber (11) and bringing the amount (10') of substance into a transfer position, for transfer to the suction air stream (S), wherein the inhaler comprises a plunger slide (25) fashioned as a flat part, the dosing chamber being formed in the plunger slide, wherein the plunger slide interacts outside the storage chamber (11) with a closure plunger (52) that is movable in relation to the plunger slide.