The present invention provides a polymer composition for fibers or non-woven fabrics, comprising a vinyl aromatic based copolymer and 0 to 30 wt % of an olefin based polymer based on the total weight of the polymer composition. The vinyl aromatic copolymer is represented by a formula A1-B-A2, wherein block A1 and block A2 are the same or different vinyl aromatic blocks, block A1 or block A2 having 3,800 to 4,800 of a peak molecular weight, and block B is a hydrogenated conjugated diene block. A vinyl structure content of a conjugated diene monomer content in the vinyl aromatic based copolymer is from 32 wt % to 50 wt %; and a melt flow index (MFI) of the vinyl aromatic based copolymer is 20 g/10 min˜60 g/10 min (230° C., 2.16 kg). The present invention also provides the fibers or the non-woven fabrics made from the polymer composition.