It is an object of the present invention to develop a polypropylene nonwoven fabric which is excellent in both of initial hydrophilicity and long-lasting hydrophilicity, that is, which is excellent in initial hydrophilicity that the nonwoven fabric exhibits hydrophilicity in a short time after it is produced and long-lasting hydrophilicity that the nonwoven fabric recovers hydrophilicity in a short time even if it is subjected to heat treatment. The present invention provides fibers of a propylene copolymer composition which comprises 100 parts by weight of a propylene/α-olefin random copolymer having a melting point (Tm) of 125 to 155° C. and 0.5 to 5 parts by weight of a nonionic surface active agent comprising an alkylene oxide adduct of an aliphatic alcohol.