Provided by the invention is a highly oriented, undrawn, conductive, composite filament which is white or colorless and has antistatic properties durable over a long period when wears utilizing the fiber are actually put on and washed. The filament is a sheath-core composite fila­ment comprising a sheath of a fiber-forming thermoplastic polymer (A) and a core of a composition (B) comprising a conductive material which comprises a conductive metal oxide(s) and a thermoplastic polyamide, having a core resistance of not more than 9 x 10¹⁰Ω/cm·filament, and maintaining a critical elongation --- an elongation reached in the course of extending a composite filament at which the core resistance exceeds 1 x 10¹¹Ω/cm·filament at a D.C. voltage of 1 kV --- of at least 5% and a shrinkage in hot water at 100°C of not higher than 20%. Such fiber can be obtained by conducting high orientation melt spinning at at least 2,500 m/min while selecting a polyamide as the core component to contain the white or colorless conductive material and having the composition previously dried to a moisture content of 100 to 1,200 ppm.