Spun yarns are used worldwide for making a wide range of textiles and apparel. The spun yarn is formed by twisting an assembly of short fibers in order to obtain sufficient strength for the downstream processing. In spinning triangle, the fibers will be finally twisted into yarn. Thus the properties of yarn were greatly influenced by the shape and the fiber stress distribution of the spinning triangle. In this study, the theoretical issue of ring spinning triangle was examined by using the finite element method. In order to address more complicated condition of the spinning triangle, some important factors ignored previously, including the yarn spinning torque, the inclined spinning tension and fiber torsional strains, were considered. With the input of different spinning parameters, such as yarn count (yarn linear density), yarn twist, spinning tension and torque, some essential parameters of the spinning triangle, including the fiber tension distribution, fiber torsion distribution and the height of the spinning triangle, were numerically obtained and their quantitative relationships were discussed in detail.