A substantially torqueless composite dual core-spun yarn (10) is produced by introducing two slivers (30A,30B) forming a covering (30) together with a central (20) core in a spinning triangle (40). The core (20) is fed overtwisted S or Z and the slivers (30A,30B) have an opposite Z or S twist corresponding to about 30% to 70% of the twist of the fed overtwisted core (20) that detwists during spinning. The inelastic core (20) is fed at controlled speed to compensate for the angle of feed and to compensate for detwisting, and is guided into the spinning triangle (40) by a guide groove (52) in a feed roller (50).