Method for producing drawn conjugated fiber, and drawn conjugated fiber

A method for producing a drawn conjugated fiber comprising:

• a spinning step of obtaining an undrawn fiber having a core-sheath structure in which a core material is a resin containing, as a main component, a crystalline propylene polymer and a sheath material is a resin containing, as a main component, an olefin polymer having a melting point lower than that of the core material, by means of melt-spinning;
• and
• a drawing step of drawing the undrawn fiber, wherein the undrawn fiber has a fineness of 1.5 dTex or less, and
• in the spinning step, the core material discharged from a spinneret has a melt flow rate of 70 to 170 g/10 minutes at 230° C. and a load of 21.18 N, and a ratio of the melt flow rate of the core material discharged from the spinneret at 230° C. and a load of 21.18 N to a melt flow rate of the sheath material discharged from the spinneret at 230° C. and a load of 21.18 N is from 1 to 2.2.