The present invention relates to a method for drafting spun yarns in three stages. The method comprises drafting fiber strips to obtain fiber strands in the first-stage draft zone, drafting fiber strands to obtain non-discrete fiber bands without twist distribution in the second-stage draft zone, and drafting fiber bands to obtain twist less fiber assemblies in the third-stage draft zone. The methods optimize the maximum total draft ratio to obtain twist less fiber assemblies while maintaining evenness and required quality of resultant yarns.