A damper disc used as a clutch disc of a friction clutch includes a spline hub splined to an output shaft and having a radial flange, a pair of annular side plates arranged at both sides of the flange and having a radially outer portion to which torque is transmitted, and torsion springs arranged at openings in the flange and the side plates. At least some of the torsion springs consist of coaxially arranged double compressible coil springs including a diametrically large outer spring and a diametrically small inner spring. Each of these small springs is hourglass-shaped so that their diameters gradually change along their length and their axially middle portions have the smallest diameters. The diametrically large outer springs may also have an hourglass shape.