A torque testing machine includes a testing head and a calculating device connecting to the testing head to calculate a torque transmitted to the testing head. A first drive device includes a first connecting head being cooperative with the testing head. The first connecting head and the testing head oppose to each other. The first connecting head is rotatable about an axis. A second drive device includes a second connecting head being cooperative with the testing head. The second connecting head offsets a distance from the axis and is movable tangentially to the distance.