A method for producing powder from a coarsely granular, thermoplastic material, comprising a homogenizing first device produces a first melt from a non-homogeneous pre-mixture of the material; first chips are produced from the first melt in a second device; the chips are milled to a powder; the powder is separated into at least two fractions with coarser and finer particle sizes; and a selected fraction with finer particle sizes is returned to the method prior to milling; wherein a second melt is produced from the selected fraction in a non-homogenizing third device, with second chips being produced from the latter, and the second chips are combined with the first chips and milled with each other.