A torque detector, particularly a torque detector for detecting a torque applied to a torque transmission shaft which is connected to a load such as a wheel of an automobile, comprises a first shaft connected to a driving shaft, a second shaft connected to a torque transmission shaft, and a plurality of elastic members, each of which is interposed between the first shaft and the second shaft for transmitting the torque of the first shaft to the second shaft while receiving the compression force between the first shaft and the second shaft when the driving shaft is driven. The first shaft comprises a flange portion wherein a plurality of long grooves are formed so as to extend in the rotating direction thereof. The second shaft comprises a flange portion wherein a plurality of long holes are formed so as to extend in the rotating direction thereof and penetrate therethrough at such positions as to be substantially opposed to said long grooves. Each of the elastic members is accommodated within each of the long holes. The projecting side portion of each of the elastic members is accommodated within each of the long grooves. The long holes are grouped into two kinds of long holes having different lengths in the rotating direction of the second shaft. One kind of long holes have a length equal to that of the long groove of the first shaft while the other kind of long holes have a length longer than that of one kind of long holes by a predetermined angular distance. Until the applied torque reaches a predetermined value, the first shaft is connected to the second shaft only through one kind of elastic members to decrease the total spring constant thereof and when the applied torque exceeds the predetermined value, the first shaft is connected to the second shaft through all of the elastic members to increase the total spring constant thereof. The torque detector further comprises a data processor by which the angular phase difference between the first shaft and the second shaft, which occurs due to the compression of the elastic members is detected and torque is calculated from the detected angular phase difference.