The Taguchi method together with Minitab software was used to optimize the melt spun PLLA multifilament fiber finesse. The aim was to minimize the number of spinning experiments to find optimal processing conditions and to maximize the quality of the fibers (thickness, strength, and smoothness). The optimization was performed in two parts. At first, the melt spinning process was optimized considering the drawing that followed and at second step the drawing was optimized. Fine (15 μm) fibers with feasible strength properties (730 MPa) for further processing were produced with the aid of Minitab software.