The utility model discloses a thread polishing machine for an irregularly-shaped wire-drawing die, which comprises a wire, a wire rack, a self-adapting positioning mechanism, a translational mechanism and a wire constant tension device, wherein, the self-adapting positioning mechanism comprises a self-adapting positioning plate, a ball bearing plate and a locking mechanism; the irregularly-shaped wire-drawing die is installed on the self-adapting positioning plate; with the support of the ball bearing plate, the self-adapting positioning plate can freely move or rotate; the translational mechanism is used for enabling the self-adapting positioning plate or the wire rack to conduct plane motion; and the wire constant tension device is provided with a tension stepping motor, a tension sensor and a tension digital display meter, wherein, the tension sensor collects and inputs wire tension into the tension digital display meter, and the tension digital display meter controls the tension stepping motor, so as to enable the wire to remain stretching to the maximum stiffness and maintain the same tension during the thread polishing process. The thread polishing machine for the irregularly-shaped wire-drawing die can effectively solve the polishing problem of the sizing area of the irregularly-shaped section wire-drawing die.