In the production of multicolored yarn from differently colored filament bundles, the individual bundles may be texturized collectively. Then they are separated again into crimped part-threads 11.3 through 11.5 and are compacted individually in after-compacting means 8 before these part-threads are jointly compacted in a collective compacting means 9 and subsequently are wound up as a yarn 12 in a winding device 10.