PURPOSE: The titled spinneret having paired extrusion holes provided oppositely in asymmetric positions to satisfy special conditions without causing the bending of fibers in spinning polymers having a great difference in viscosity.

CONSTITUTION: The titled spinneret having paired extrusion holes 2 and 3 provided oppositely in asymmetric positions to satisfy the formulas 15°≤θ≤30°, 0.25≤(θ1/θ)≤0.45, θ=θ1+θ2 and 0mm≤l≤0.2mm (θ1 and θ2 are tilting angles of the respective paired extrusion holes 2 and 3 to the direction perpendicular to the spinneret surface; l is the gap between the paired extrusion holes). A high- viscosity molten polymer is fed through introductory holes (2a) to small spinning holes (2b) having a small tilting angle, and a low-viscosity molten polymer is fed through introductory holes (3a) to small spinning holes (3b) having a large tilting angle. Both polymers are extruded to give the aimed side-by-side type conjugate fibers.