Abstract: Method for spinning polyether block amides (PEBAs) into fibers, whereby use is mainly made of at least one extruder, a cooling system, a sequential line for stretching, a relaxation unit, a heating unit and a winding system, characterized in that polyether block amides are taken as a base material whose initial hardness is situated between shore D15 and 80, better still between shore D20 and 75, even better between shore D27 and 69, and in that the stretched fibers are subjected to a temperature treatment in a heating unit before being wound, whereby their shrinkage is reduced to 0-10%, better still to 0-5% and even better to 0-3%.