To stably unwind an original thread from a thread feeder by forming a unwinding area surrounded with a plurality of partially overlapped elastic linear materials fixed for both end in the peripheral part of a circular hole and bent concavely in the center direction of the same in the center of the circular hole of a supporting body.

A thread unwinding tension stabilizing tool 3 is provided with a supporting body 1 having a circular hole 10 in an inner side and a plurality of elastic linear materials 2 provided inside the circular hole 10 of the supporting body 1. The elastic materials 2 are bent concavely in the center direction of the circular hole 10 of the supporting body 1, and partially overlapped to cross each other. Both ends are fixed in different positions in the peripheral part of the circular hole 10, and unwinding area 20 is formed in the center of the circular hole 10. By passing the released thread Y of a thread feeder B into the unwinding area 20 and elastically bending the elastic linear material 2, the thread tension releasing stabilizing tool 3 is brought into contact with the thread surface of the thread feeder B. The released thread Y is held between the elastic linear material 2 and the thread feeder B by a proper elastic pressure, and unwinding tension is stabilized.